Pub Date : 2023-08-22DOI: 10.9734/arjom/2023/v19i10730
N. Maheshbabu, S. Mohan
Aim: In our study, we investigated, based on the premise of a long wavelength, how Hall's theory affected the peristaltic pumping of a fluid with a hyperbolic tangent within an inclined planar channel, and how both affected each other. Study Design: Abstract, introduction, Statement, Analytical Solution, Results and Discussion, and conclusion. Methodology: The intra-uterine fluid motion with tiny particles in a non-pregnant uterus is one of the many applications of the current physical problem, and this fluid motion condition is crucial for analysing the motion of the embryo in a uterus. Perturbation-oriented numerical research has been carried out in the current study to characterise the properties of velocity and axial pressure gradient in an inclined channel under Hall effect on the peristaltic flow of a Hyperbolic tangent because of these real-world applications. Under low Reynolds number and long-wavelength approximations, the current physical model yields the governing two-dimensional coupled nonlinear flow equations. For different values of the physical parameters, a suitable equation for the stream function is derived, and a regular perturbation scheme is used to produce the numerical solutions in terms of pressure rise and velocity. Weissenberg number, power-law index, Hall parameter, Hartmann number, and amplitude ratio relationships are examined in graphs along with their effects on the axial pressure gradient and time-averaged volume flow rate. According to the findings of this study, whereas the axial pressure gradient and time-averaged flow rate in the pumping region enhance with rising values of the Weissenberg, Hartmann, Reynolds, angle of inclination, and amplitude ratio, they diminish with enhances in the power-law index, Hall parameter, and Froude number. Hyperbolic tangent fluid has been discovered to require less pumping than Newtonian fluid.
{"title":"Analytical Solution of Hyperbolic Tangent Fluid's Peristaltic Flow in an Inclined Channel: Hall Effect's Impact","authors":"N. Maheshbabu, S. Mohan","doi":"10.9734/arjom/2023/v19i10730","DOIUrl":"https://doi.org/10.9734/arjom/2023/v19i10730","url":null,"abstract":"Aim: In our study, we investigated, based on the premise of a long wavelength, how Hall's theory affected the peristaltic pumping of a fluid with a hyperbolic tangent within an inclined planar channel, and how both affected each other. \u0000Study Design: Abstract, introduction, Statement, Analytical Solution, Results and Discussion, and conclusion. \u0000Methodology: The intra-uterine fluid motion with tiny particles in a non-pregnant uterus is one of the many applications of the current physical problem, and this fluid motion condition is crucial for analysing the motion of the embryo in a uterus. Perturbation-oriented numerical research has been carried out in the current study to characterise the properties of velocity and axial pressure gradient in an inclined channel under Hall effect on the peristaltic flow of a Hyperbolic tangent because of these real-world applications. Under low Reynolds number and long-wavelength approximations, the current physical model yields the governing two-dimensional coupled nonlinear flow equations. For different values of the physical parameters, a suitable equation for the stream function is derived, and a regular perturbation scheme is used to produce the numerical solutions in terms of pressure rise and velocity. Weissenberg number, power-law index, Hall parameter, Hartmann number, and amplitude ratio relationships are examined in graphs along with their effects on the axial pressure gradient and time-averaged volume flow rate. According to the findings of this study, whereas the axial pressure gradient and time-averaged flow rate in the pumping region enhance with rising values of the Weissenberg, Hartmann, Reynolds, angle of inclination, and amplitude ratio, they diminish with enhances in the power-law index, Hall parameter, and Froude number. Hyperbolic tangent fluid has been discovered to require less pumping than Newtonian fluid.","PeriodicalId":281529,"journal":{"name":"Asian Research Journal of Mathematics","volume":"29 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-08-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117028219","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-08-21DOI: 10.9734/arjom/2023/v19i10729
S. Nagarajan, M. Durga
The Y-index of a graph is defined by the sum of four of degrees of the vertices of a graph. Among the all topological indices the Zagreb indices have been used more considerably than any other topological indices in chemical literature. The concept of Corona Product is a recent inclusion to mathematical vocabulary. One of the most significant graph operations is the corona product of several generic and specific graphs, which is one of the most well-known graph products. In this study, we derive some explicit formulations of several corona product types, including subdivision-vertex corona, subdivision-edge corona, subdivision-vertex neighborhood corona, subdivision-edge neighborhood corona, and vertex-edge corona of two graphs.
{"title":"Computing Y-index of Different Corona Products of Graphs","authors":"S. Nagarajan, M. Durga","doi":"10.9734/arjom/2023/v19i10729","DOIUrl":"https://doi.org/10.9734/arjom/2023/v19i10729","url":null,"abstract":"The Y-index of a graph is defined by the sum of four of degrees of the vertices of a graph. Among the all topological indices the Zagreb indices have been used more considerably than any other topological indices in chemical literature. The concept of Corona Product is a recent inclusion to mathematical vocabulary. One of the most significant graph operations is the corona product of several generic and specific graphs, which is one of the most well-known graph products. In this study, we derive some explicit formulations of several corona product types, including subdivision-vertex corona, subdivision-edge corona, subdivision-vertex neighborhood corona, subdivision-edge neighborhood corona, and vertex-edge corona of two graphs.","PeriodicalId":281529,"journal":{"name":"Asian Research Journal of Mathematics","volume":"33 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-08-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131548443","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-08-12DOI: 10.9734/arjom/2023/v19i10728
P. Senthil Kumar, P. Thiruveni
In this paper, we proved a few fuzzy fixed point theorems in whole regular cone metric spaces, which can be the generalization of a few current consequences within side the literature.
本文证明了整个正则圆锥度量空间中的几个模糊不动点定理，这些定理是目前文献中一些结论的推广。
{"title":"Fuzzy Fixed Point Theorems in Normal Cone Metric Space","authors":"P. Senthil Kumar, P. Thiruveni","doi":"10.9734/arjom/2023/v19i10728","DOIUrl":"https://doi.org/10.9734/arjom/2023/v19i10728","url":null,"abstract":"In this paper, we proved a few fuzzy fixed point theorems in whole regular cone metric spaces, which can be the generalization of a few current consequences within side the literature.","PeriodicalId":281529,"journal":{"name":"Asian Research Journal of Mathematics","volume":"52 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126941088","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-08-10DOI: 10.9734/arjom/2023/v19i10725
Jackson K. Njenga
A VAR framework with exogenous variable is considered to analyse the exchange rate pass-through dynamics in Kenya. Monthly time series data from January 2006 to December 2022 is used. Six endogenous variables namely; US dollar exchange rate, broad money supply, total import, 20 Nairobi stock exchange share index, consumer price index and 91 days treasury bond rate sourced from the central bank of Kenya were considered. Global food price index and oil prices per barrel sourced from statista and Murban Adnoc respectively are the exogenous variables. Unit root test is first performed to test for stationary in line with VAR assumptions. Oil price and total import are the only stationary variables, while the other variables are of integrated order 1. Secondly, a VARX (2,0) is estimated, which is statistically significant at 5% level. Thirdly, Granger causality test is performed, that provide evidence of causality for 20 Nairobi stock exchange share index, consumer price index and broad money supply with respect to other endogenous variables. In addition, VARX(2,0) is converted to MA(2) to develop US dollars impulse response function. There exist high level of volatility for all variables. Finally, a forecast error variance decomposition following Cholesky decomposition shows significant proportion of variance explained by other variables respectively. Kenya’s policy makers need to build strong framework for monetary policy and exchange rate control measures in safeguarding the performance of macroeconomic indicators.
{"title":"Exchange Rate Pass-through Dynamics: VAR Evidence for Kenya","authors":"Jackson K. Njenga","doi":"10.9734/arjom/2023/v19i10725","DOIUrl":"https://doi.org/10.9734/arjom/2023/v19i10725","url":null,"abstract":"A VAR framework with exogenous variable is considered to analyse the exchange rate pass-through dynamics in Kenya. Monthly time series data from January 2006 to December 2022 is used. Six endogenous variables namely; US dollar exchange rate, broad money supply, total import, 20 Nairobi stock exchange share index, consumer price index and 91 days treasury bond rate sourced from the central bank of Kenya were considered. Global food price index and oil prices per barrel sourced from statista and Murban Adnoc respectively are the exogenous variables. Unit root test is first performed to test for stationary in line with VAR assumptions. Oil price and total import are the only stationary variables, while the other variables are of integrated order 1. Secondly, a VARX (2,0) is estimated, which is statistically significant at 5% level. Thirdly, Granger causality test is performed, that provide evidence of causality for 20 Nairobi stock exchange share index, consumer price index and broad money supply with respect to other endogenous variables. In addition, VARX(2,0) is converted to MA(2) to develop US dollars impulse response function. There exist high level of volatility for all variables. Finally, a forecast error variance decomposition following Cholesky decomposition shows significant proportion of variance explained by other variables respectively. Kenya’s policy makers need to build strong framework for monetary policy and exchange rate control measures in safeguarding the performance of macroeconomic indicators.","PeriodicalId":281529,"journal":{"name":"Asian Research Journal of Mathematics","volume":"43 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-08-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133262882","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-08-08DOI: 10.9734/arjom/2023/v19i10724
X. Yang
The method of finding quadratic trinomial factors for univariate integer coefficient polynomials, proposed by the famous mathematician Isaac Newton in his mathematical monograph Arithmetica Universalis, is novel and concise, and has attracted the attention of mathematicians such as Leibniz and Bernoulli. However, no proof of this method has been given so far. This paper provides an in-depth analysis of this method and proves it with mathematical reasoning.Therefore, Newton's method of finding quadratic factors for univariate integer coefficient polynomials is reasonable, validate, and universal.
{"title":"Rationality Proof of Newton's Method for Finding Quadratic Trinomial Factors of Univariate Integer Coefficient Polynomials","authors":"X. Yang","doi":"10.9734/arjom/2023/v19i10724","DOIUrl":"https://doi.org/10.9734/arjom/2023/v19i10724","url":null,"abstract":"The method of finding quadratic trinomial factors for univariate integer coefficient polynomials, proposed by the famous mathematician Isaac Newton in his mathematical monograph Arithmetica Universalis, is novel and concise, and has attracted the attention of mathematicians such as Leibniz and Bernoulli. However, no proof of this method has been given so far. This paper provides an in-depth analysis of this method and proves it with mathematical reasoning.Therefore, Newton's method of finding quadratic factors for univariate integer coefficient polynomials is reasonable, validate, and universal.","PeriodicalId":281529,"journal":{"name":"Asian Research Journal of Mathematics","volume":"83 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-08-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116608589","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-08-07DOI: 10.9734/arjom/2023/v19i10723
Anna Reddy Saila Kumari, Ratnakaram Raghavendra
Cosmic Rays (CRs) are extreme strength particles resigning from outside the Earth and transported through space. These atoms can considerably impact human fitness, aviation and photo electric suppliers. A high energy radiation from space indicator is a tool that detects and measures the force of limitless beams. In this project, one can build a high energy radiation from space indicator utilizing two Geiger Muller tubes, Lead sheets, a stiff frame, a Microcontroller and a Protractor to regulate the frame at certain angle. At different altitudes, at different temperatures, at different humidities, we can identify and record CRs. A portable Muon Detector project that incorporates two Geiger Tubes enclosed within a lead sheet for detecting CRs. The system utilizes a coincidence circuit login to enhance the detection accuracy and reduce false positive rates. Additionally, the device is equipped with sensors to collect data on Temperature, Humidity, Latitude, Longitude and Atmospheric Pressure. The combination of these features provides a comprehensive and versatile solution for studying Muons and their interactions with the surrounding environment.
{"title":"Cosmic Ray Detector Using Geiger Tubes and Coincident Pulses","authors":"Anna Reddy Saila Kumari, Ratnakaram Raghavendra","doi":"10.9734/arjom/2023/v19i10723","DOIUrl":"https://doi.org/10.9734/arjom/2023/v19i10723","url":null,"abstract":"Cosmic Rays (CRs) are extreme strength particles resigning from outside the Earth and transported through space. These atoms can considerably impact human fitness, aviation and photo electric suppliers. A high energy radiation from space indicator is a tool that detects and measures the force of limitless beams. In this project, one can build a high energy radiation from space indicator utilizing two Geiger Muller tubes, Lead sheets, a stiff frame, a Microcontroller and a Protractor to regulate the frame at certain angle. At different altitudes, at different temperatures, at different humidities, we can identify and record CRs. A portable Muon Detector project that incorporates two Geiger Tubes enclosed within a lead sheet for detecting CRs. The system utilizes a coincidence circuit login to enhance the detection accuracy and reduce false positive rates. Additionally, the device is equipped with sensors to collect data on Temperature, Humidity, Latitude, Longitude and Atmospheric Pressure. The combination of these features provides a comprehensive and versatile solution for studying Muons and their interactions with the surrounding environment.","PeriodicalId":281529,"journal":{"name":"Asian Research Journal of Mathematics","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-08-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129281668","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-08-05DOI: 10.9734/arjom/2023/v19i10722
John Mark R. Liwat, R. G. Eballe
{"title":"Pointwise Clique-Safe Domination in the Complement and Complementary Prism of Special Families of Graphs","authors":"John Mark R. Liwat, R. G. Eballe","doi":"10.9734/arjom/2023/v19i10722","DOIUrl":"https://doi.org/10.9734/arjom/2023/v19i10722","url":null,"abstract":"<jats:p />","PeriodicalId":281529,"journal":{"name":"Asian Research Journal of Mathematics","volume":"79 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122153109","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-07-31DOI: 10.9734/arjom/2023/v19i10721
Isaac K. Barasa, Samuel B. Apima
Plant-herbivore-natural enemies of herbivores interaction is one of the basic interactions that drives of the ecosystem yields. In this interaction, plants are the primary food source for herbivores while natural enemies of herbivores depends on herbivores for food and on plants for shelter. Harvesting of every species which is common in many habitat may affect the population densities of the species and even the entire ecosystem. Therefore, conservation and maintenance of the harvested species is critical for ecosystem balance. In this paper, a model of plant-herbivore-natural enemies interactions with the constant effort harvesting of every species was developed and analyzed. The positive invariant set, the conditions of existence and locally asymptotically, stability of the equilibria were determined using the stability theory of ordinary differential equations. The results shows that the species being harvested would become extinct if harvesting effort exceeded a threshold value for the given population. While maintaining the coexistence of populations in the ecosystem requires sensible harvesting practices. Therefore, it is fair to choose a reasonable harvesting effort to allow all species to coexist in order to govern the species’ dynamic behavior. The insights of the solutions of this study are of great essence to ecologists and policy developers in environmental conservation. The authorities to pay attention to the minimum number required based on the area coverage in deciding when to harvest and also be cautious to the amount and effort of harvesting in view of conserving the species and the environment.
{"title":"Mathematical Modeling of Plants, Herbivore and Natural Enemies of Herbivores Interaction with Harvesting","authors":"Isaac K. Barasa, Samuel B. Apima","doi":"10.9734/arjom/2023/v19i10721","DOIUrl":"https://doi.org/10.9734/arjom/2023/v19i10721","url":null,"abstract":"Plant-herbivore-natural enemies of herbivores interaction is one of the basic interactions that drives of the ecosystem yields. In this interaction, plants are the primary food source for herbivores while natural enemies of herbivores depends on herbivores for food and on plants for shelter. Harvesting of every species which is common in many habitat may affect the population densities of the species and even the entire ecosystem. Therefore, conservation and maintenance of the harvested species is critical for ecosystem balance. In this paper, a model of plant-herbivore-natural enemies interactions with the constant effort harvesting of every species was developed and analyzed. The positive invariant set, the conditions of existence and locally asymptotically, stability of the equilibria were determined using the stability theory of ordinary differential equations. The results shows that the species being harvested would become extinct if harvesting effort exceeded a threshold value for the given population. While maintaining the coexistence of populations in the ecosystem requires sensible harvesting practices. Therefore, it is fair to choose a reasonable harvesting effort to allow all species to coexist in order to govern the species’ dynamic behavior. The insights of the solutions of this study are of great essence to ecologists and policy developers in environmental conservation. The authorities to pay attention to the minimum number required based on the area coverage in deciding when to harvest and also be cautious to the amount and effort of harvesting in view of conserving the species and the environment.","PeriodicalId":281529,"journal":{"name":"Asian Research Journal of Mathematics","volume":"37 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128679209","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-07-25DOI: 10.9734/arjom/2023/v19i9718
Lucas S. C. de Sá, E. Spreafico
This article presents a new approach to address the resolution of homogeneous linear recurrences of higher order and interpolation problems. By establishing an explicit formula for the entries of the inverse of generalized Vandermonde matrices, a fresh perspective on these mathematical challenges is introduced. The study primarily focuses on linear recurrence relations and thoroughly investigates cases involving characteristic polynomials with both simple roots and roots of multiplicity. To illustrate the effectiveness and practicality of the proposed method, a comprehensive set of illustrative examples is provided, highlighting its applicability in solving a wide range of instances of linear recurrence relations. Additionally, the limitations of the formula are discussed, particularly in scenarios where its applicability may be restricted. The findings of this study contribute significantly to the existing literature, providing an alternative and promising approach for solving problems that rely on the inverse Vandermonde matrix. In conclusion, this article emphasizes the need for further research to explore the computational advantages of the proposed method and to extend its applicability to cases featuring characteristic polynomials with a single root of multiplicity greater than one. By expanding the knowledge in the field, this study offers valuable insights into the resolution of linear recurrences and interpolation problems, presenting a new perspective and expanding the existing knowledge in the field.
{"title":"New Approaches for Solving Interpolation Problems and Homogeneous Linear Recurrence Relations","authors":"Lucas S. C. de Sá, E. Spreafico","doi":"10.9734/arjom/2023/v19i9718","DOIUrl":"https://doi.org/10.9734/arjom/2023/v19i9718","url":null,"abstract":" This article presents a new approach to address the resolution of homogeneous linear recurrences of higher order and interpolation problems. By establishing an explicit formula for the entries of the inverse of generalized Vandermonde matrices, a fresh perspective on these mathematical challenges is introduced. The study primarily focuses on linear recurrence relations and thoroughly investigates cases involving characteristic polynomials with both simple roots and roots of multiplicity. To illustrate the effectiveness and practicality of the proposed method, a comprehensive set of illustrative examples is provided, highlighting its applicability in solving a wide range of instances of linear recurrence relations. Additionally, the limitations of the formula are discussed, particularly in scenarios where its applicability may be restricted. The findings of this study contribute significantly to the existing literature, providing an alternative and promising approach for solving problems that rely on the inverse Vandermonde matrix. In conclusion, this article emphasizes the need for further research to explore the computational advantages of the proposed method and to extend its applicability to cases featuring characteristic polynomials with a single root of multiplicity greater than one. By expanding the knowledge in the field, this study offers valuable insights into the resolution of linear recurrences and interpolation problems, presenting a new perspective and expanding the existing knowledge in the field.","PeriodicalId":281529,"journal":{"name":"Asian Research Journal of Mathematics","volume":"36 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114665864","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-07-25DOI: 10.9734/arjom/2023/v19i9719
Saleem Nasser Alomari, Yahya Qaid Hasan
In this paper, a modified Adomian decomposition method (MADM) for solving the hyperbolic telegraph equation is proposed. The MADM introduces a new inverse partial differential operator that can speed up the convergence rate of the standard ADM. We also present a technique for converting the equation to a special case form, which makes the MADM easier to implement. The proposed method was tested on six different linear and nonlinear telegraph equations in one and two dimensions. The results show that the method is accurate and efficient for solving the telegraph equation.
{"title":"Solving The Hyperbolic Telegraph Equation Using a Modified Adomian Decomposition Method with an Invertible Partial Differential Operator","authors":"Saleem Nasser Alomari, Yahya Qaid Hasan","doi":"10.9734/arjom/2023/v19i9719","DOIUrl":"https://doi.org/10.9734/arjom/2023/v19i9719","url":null,"abstract":"In this paper, a modified Adomian decomposition method (MADM) for solving the hyperbolic telegraph equation is proposed. The MADM introduces a new inverse partial differential operator that can speed up the convergence rate of the standard ADM. We also present a technique for converting the equation to a special case form, which makes the MADM easier to implement. The proposed method was tested on six different linear and nonlinear telegraph equations in one and two dimensions. The results show that the method is accurate and efficient for solving the telegraph equation.","PeriodicalId":281529,"journal":{"name":"Asian Research Journal of Mathematics","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129800557","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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