Pub Date : 2022-01-01DOI: 10.22075/IJNAA.2021.17495.1939
G. Babu, G. Satyanarayana
In this paper, we study the stability of Mann iteration procedure in two directions, namely one due to Harder and the second one due to Rus with respect to a map $T:Kto K$ where $K$ is a nonempty closed convex subset of a normed linear space $X$ and there exist $deltain(0,1)$ and $Lgeq 0$ such that $||Tx-Ty||leqdelta||x-y||+L||x-Tx||$ for $x,yin K$. Also, we show that the Mann iteration procedure is stable in the sense of Rus may not imply that it is stable in the sense of Harder for weak contraction maps. Further, we compare and study the equivalence of these two stabilities and provide examples to illustrate our results.
本文研究了关于映射$T:K到K$的两个方向上的Mann迭代过程的稳定性，其中$K$是赋范线性空间$X$的一个非空闭凸子集，并且存在$deltain(0,1)$和$Lgeq 0$，使得$||Tx-Ty||leqdelta|| X -y||+L|| X - tx ||$对于$X,yin K$。此外，我们还证明Mann迭代过程在Rus意义上是稳定的，但这并不意味着对于弱收缩映射它在Harder意义上是稳定的。进一步，我们比较和研究了这两种稳定性的等价性，并举例说明了我们的结果。
{"title":"Comparison of Harder stability and Rus stability and their equivalence","authors":"G. Babu, G. Satyanarayana","doi":"10.22075/IJNAA.2021.17495.1939","DOIUrl":"https://doi.org/10.22075/IJNAA.2021.17495.1939","url":null,"abstract":"In this paper, we study the stability of Mann iteration procedure in two directions, namely one due to Harder and the second one due to Rus with respect to a map $T:Kto K$ where $K$ is a nonempty closed convex subset of a normed linear space $X$ and there exist $deltain(0,1)$ and $Lgeq 0$ such that $||Tx-Ty||leqdelta||x-y||+L||x-Tx||$ for $x,yin K$. Also, we show that the Mann iteration procedure is stable in the sense of Rus may not imply that it is stable in the sense of Harder for weak contraction maps. Further, we compare and study the equivalence of these two stabilities and provide examples to illustrate our results.","PeriodicalId":14240,"journal":{"name":"International Journal of Nonlinear Analysis and Applications","volume":"13 1","pages":"409-420"},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68118299","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 : 2022-01-01DOI: 10.22075/IJNAA.2021.18485.2015
Mehdi Sabagh, Mansour Asgari Khorasgani, M. Kazemi
Concrete is a material that the mechanical properties of which change over time. This change is due to chemical reactions within the concrete known as hydration. One of these properties is the modulus of elasticity and longitudinal wave velocity, which has a direct relation with the concrete age and its setting. Just after the materials mixing, the concrete setting is fast, and over time its rate decreases. Here, a series of cubic concrete specimens are prepared and changing in longitudinal wave velocity and modulus of elasticity in different ages is monitored during the process of curing and a relationship has been presented. Materials specifications impact and concrete mixing ratios, including the water to cement ratio and fine to coarse aggregates ratio is studied. Ultrasonic wave velocity has been increased faster at early ages of specimens where the concrete setting process is fast and in last days, rates of increasing the longitudinal wave velocity decreases. An increase in the water to cement ratio leads to increases in the longitudinal wave velocity over time. The empirical equations have been formulated as logarithmic curves. These empirical equations have been developed and a model with more efficiency and precision has been presented. These empirical equations can be used in the analytical and numerical analysis of structures. These models can be used to determine the loading time of concrete structures and to predicting their other physical and mechanical properties, such as strength and stiffness.
{"title":"Evaluation of longitudinal wave velocity and elasticity modulus of concrete at different ages considering mixing ratios","authors":"Mehdi Sabagh, Mansour Asgari Khorasgani, M. Kazemi","doi":"10.22075/IJNAA.2021.18485.2015","DOIUrl":"https://doi.org/10.22075/IJNAA.2021.18485.2015","url":null,"abstract":"Concrete is a material that the mechanical properties of which change over time. This change is due to chemical reactions within the concrete known as hydration. One of these properties is the modulus of elasticity and longitudinal wave velocity, which has a direct relation with the concrete age and its setting. Just after the materials mixing, the concrete setting is fast, and over time its rate decreases. Here, a series of cubic concrete specimens are prepared and changing in longitudinal wave velocity and modulus of elasticity in different ages is monitored during the process of curing and a relationship has been presented. Materials specifications impact and concrete mixing ratios, including the water to cement ratio and fine to coarse aggregates ratio is studied. Ultrasonic wave velocity has been increased faster at early ages of specimens where the concrete setting process is fast and in last days, rates of increasing the longitudinal wave velocity decreases. An increase in the water to cement ratio leads to increases in the longitudinal wave velocity over time. The empirical equations have been formulated as logarithmic curves. These empirical equations have been developed and a model with more efficiency and precision has been presented. These empirical equations can be used in the analytical and numerical analysis of structures. These models can be used to determine the loading time of concrete structures and to predicting their other physical and mechanical properties, such as strength and stiffness.","PeriodicalId":14240,"journal":{"name":"International Journal of Nonlinear Analysis and Applications","volume":"13 1","pages":"379-396"},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68118339","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 : 2022-01-01DOI: 10.22075/IJNAA.2021.23049.2468
Sana Karfes, E. Hadidi, M. Kerker
In this work, we are interested in the study of the limit cycles of a perturbed differential system in (mathbb{R}^2), given as follows[left{begin{array}{l}dot{x}=y, dot{y}=-x-varepsilon (1+sin ^{m}(theta ))psi (x,y),%end{array}%right.]where (varepsilon) is small enough, (m) is a non-negative integer, (tan (theta )=y/x), and (psi (x,y)) is a real polynomial of degree (ngeq1). We use the averaging theory of first-order to provide an upper bound for the maximum number of limit cycles. In the end, we present some numerical examples to illustrate the theoretical results.
{"title":"On the maximum number of limit cycles of a planar differential system","authors":"Sana Karfes, E. Hadidi, M. Kerker","doi":"10.22075/IJNAA.2021.23049.2468","DOIUrl":"https://doi.org/10.22075/IJNAA.2021.23049.2468","url":null,"abstract":"In this work, we are interested in the study of the limit cycles of a perturbed differential system in (mathbb{R}^2), given as follows[left{begin{array}{l}dot{x}=y, dot{y}=-x-varepsilon (1+sin ^{m}(theta ))psi (x,y),%end{array}%right.]where (varepsilon) is small enough, (m) is a non-negative integer, (tan (theta )=y/x), and (psi (x,y)) is a real polynomial of degree (ngeq1). We use the averaging theory of first-order to provide an upper bound for the maximum number of limit cycles. In the end, we present some numerical examples to illustrate the theoretical results.","PeriodicalId":14240,"journal":{"name":"International Journal of Nonlinear Analysis and Applications","volume":"13 1","pages":"1462-1478"},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68119160","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 : 2022-01-01DOI: 10.22075/IJNAA.2021.23002.2451
Anupam Das, Vahid Parvaneh, Bhuban Chandra Deuri, Z. Bagheri
We have established the solvability of fractional integral equations with both $(k,s)$-Riemann-Liouville and Erd'{e}lyi-Kober fractional integrals using a new generalized version of the Darbo's theorem using Mizogochi-Takahashi mappings and justify the validity of our results with the help of suitable examples.
{"title":"Application of a generalization of Darbo's fixed point theorem via Mizogochi-Takahashi mappings on mixed fractional integral equations involving $(k, s)$-Riemann-Liouville and Erd'{e}lyi-Kober fractional integrals","authors":"Anupam Das, Vahid Parvaneh, Bhuban Chandra Deuri, Z. Bagheri","doi":"10.22075/IJNAA.2021.23002.2451","DOIUrl":"https://doi.org/10.22075/IJNAA.2021.23002.2451","url":null,"abstract":"We have established the solvability of fractional integral equations with both $(k,s)$-Riemann-Liouville and Erd'{e}lyi-Kober fractional integrals using a new generalized version of the Darbo's theorem using Mizogochi-Takahashi mappings and justify the validity of our results with the help of suitable examples.","PeriodicalId":14240,"journal":{"name":"International Journal of Nonlinear Analysis and Applications","volume":"13 1","pages":"859-869"},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68119689","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 : 2022-01-01DOI: 10.22075/IJNAA.2021.24438.2744
T. Chitra, C. Sundar, S. Gopalakrishnan
The broad increase make use of digital cameras, by hand wound imaging has turn out to be common practice in experimental place. There is in malice of still a condition for a reasonable device for accurate wound curing consideration between dimensional facility and tissue categorization in a exacting simple to exploit technique We achieved the major unit of this plan by computing a 3-D model for wound dimensions using un calibrated revelation techniques. We highlight at this point on tissue classification from color and eminence region descriptors computed after unverified segmentation. As a result of perception distortions, unconstrained lighting provisions and viewpoints, wound assessments modify commonly in the middle of patient review. The majority significant separation of this article is to overcome this trouble by means of a multi inspection approach for tissue classification, relying on a 3-D model onto which tissue labels are mapped and categorization result merged. The investigational categorization tests communicate that improved repeatability and robustness are obtained and that metric assessment is attain through appropriate region and degree dimensions and wound chart origin. In this manuscript we proposed wound image segmentation, tissue classification in grouping with the Random Forest (RF). These methodology are helpful for classifying the rate of injured tissue in a segmented element and improved accuracy.
{"title":"Investigation and Classification of Chronic Wound Tissue images Using Random Forest Algorithm (RF)","authors":"T. Chitra, C. Sundar, S. Gopalakrishnan","doi":"10.22075/IJNAA.2021.24438.2744","DOIUrl":"https://doi.org/10.22075/IJNAA.2021.24438.2744","url":null,"abstract":"The broad increase make use of digital cameras, by hand wound imaging has turn out to be common practice in experimental place. There is in malice of still a condition for a reasonable device for accurate wound curing consideration between dimensional facility and tissue categorization in a exacting simple to exploit technique We achieved the major unit of this plan by computing a 3-D model for wound dimensions using un calibrated revelation techniques. We highlight at this point on tissue classification from color and eminence region descriptors computed after unverified segmentation. As a result of perception distortions, unconstrained lighting provisions and viewpoints, wound assessments modify commonly in the middle of patient review. The majority significant separation of this article is to overcome this trouble by means of a multi inspection approach for tissue classification, relying on a 3-D model onto which tissue labels are mapped and categorization result merged. The investigational categorization tests communicate that improved repeatability and robustness are obtained and that metric assessment is attain through appropriate region and degree dimensions and wound chart origin. In this manuscript we proposed wound image segmentation, tissue classification in grouping with the Random Forest (RF). These methodology are helpful for classifying the rate of injured tissue in a segmented element and improved accuracy.","PeriodicalId":14240,"journal":{"name":"International Journal of Nonlinear Analysis and Applications","volume":"13 1","pages":"643-651"},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68120725","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 : 2022-01-01DOI: 10.22075/IJNAA.2021.24467.2750
Ramu Katipelli, Shvn Krishna Kumari
Flow is considered in the moving frame of reference with constant velocity along the wave. The developed mathematical model is presented by a set of partial differential equations. A numerical algorithm based on finite element method is implemented to evaluate the numerical solution of the governing partial differential equations in the stream-vorticity formulation.This paper is about the study of Numerical analysis of the peristaltic conveyance of a casson fluid in a skewed tube under the consideration of low Reynolds and long wavelength .The problem is discussed on the inclination angle and yield stress of a fluid are examined for different qualitative and quantitative effects on pressure and also the trapping bolus creation analyzed by changing various parameters, the equation of flux analyzed in a wave frame moving at wave speed. Expressions are derived for the frictional force, change in volume flow rate, rise and drop in pressure. The impact of frictional force on various parameters on the pumping characteristics and pressure flow curves discussed through graphs
{"title":"Numerical analysis of the wall impact in the peristaltic pumping of a casson liquid in an inclined canal","authors":"Ramu Katipelli, Shvn Krishna Kumari","doi":"10.22075/IJNAA.2021.24467.2750","DOIUrl":"https://doi.org/10.22075/IJNAA.2021.24467.2750","url":null,"abstract":"Flow is considered in the moving frame of reference with constant velocity along the wave. The developed mathematical model is presented by a set of partial differential equations. A numerical algorithm based on finite element method is implemented to evaluate the numerical solution of the governing partial differential equations in the stream-vorticity formulation.This paper is about the study of Numerical analysis of the peristaltic conveyance of a casson fluid in a skewed tube under the consideration of low Reynolds and long wavelength .The problem is discussed on the inclination angle and yield stress of a fluid are examined for different qualitative and quantitative effects on pressure and also the trapping bolus creation analyzed by changing various parameters, the equation of flux analyzed in a wave frame moving at wave speed. Expressions are derived for the frictional force, change in volume flow rate, rise and drop in pressure. The impact of frictional force on various parameters on the pumping characteristics and pressure flow curves discussed through graphs","PeriodicalId":14240,"journal":{"name":"International Journal of Nonlinear Analysis and Applications","volume":"13 1","pages":"1035-1047"},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68120735","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 : 2022-01-01DOI: 10.22075/IJNAA.2022.5460
Sanaa Abdullah, Hiba O Mousa
The aim of this research paper is to present and study a new class of generalized closed sets in double fuzzy topological spaces, by using the fuzzy - αm closed set, that was previously presented. This new class is called the fuzzy αm - g∗fuzzy closed set. The relationship of the new concept with previous concepts is studied and the characteristics of this concept is investigated through important theorems that determine the position of this set in relation to sets that have been studied or that will be presented later. Also, generalizations of the functions are presented according to the concept, their properties are studied, and some necessary examples that show the properties of this concept and its relationships.
本文利用已有的模糊- αm闭集，提出并研究了双模糊拓扑空间中一类新的广义闭集。这个新类称为模糊αm - g *模糊闭集。研究了新概念与先前概念的关系，并通过一些重要的定理来研究这个概念的特征，这些定理决定了这个集合相对于已经研究过或将在后面提出的集合的位置。根据这一概念给出了函数的推广，研究了函数的性质，并举例说明了这一概念的性质及其相互关系。
{"title":"A study of g∗ - fuzzy closed set via αm in double fuzzy topological space","authors":"Sanaa Abdullah, Hiba O Mousa","doi":"10.22075/IJNAA.2022.5460","DOIUrl":"https://doi.org/10.22075/IJNAA.2022.5460","url":null,"abstract":"The aim of this research paper is to present and study a new class of generalized closed sets in double fuzzy topological spaces, by using the fuzzy - αm closed set, that was previously presented. This new class is called the fuzzy αm - g∗fuzzy closed set. The relationship of the new concept with previous concepts is studied and the characteristics of this concept is investigated through important theorems that determine the position of this set in relation to sets that have been studied or that will be presented later. Also, generalizations of the functions are presented according to the concept, their properties are studied, and some necessary examples that show the properties of this concept and its relationships.","PeriodicalId":14240,"journal":{"name":"International Journal of Nonlinear Analysis and Applications","volume":"130 1","pages":"91-95"},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68124112","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 : 2022-01-01DOI: 10.22075/IJNAA.2022.5461
Ali Abd Alhussein Zyarah, Ahmad Hadi Hussain, H. K. Zghair
Let $R$ be a $Gamma$-ring and $partial$ be an $RGamma$-module. A proper $RGamma$-submodule. $T$ of an $RGamma$-module $partial$ is called Z-prime $RGamma$-submodule if for each $tin partial, gamma in Gamma$ and $f in partial^{ast}=Hom_{R_{Gamma}}(partial,R),f(t)gamma t in T$ implies that either $t in T$ or $f(t)in [T: _{R_{Gamma}} partial]$. The purpose of this paper is to introduce interesting theorems and properties of Z- prime $RGamma$-submodule of $RGamma$-module and the relation of Z-prime $RGamma$-submodule, which represents of generalization Z-prime R-submodule of R-module.
设$R$是$Gamma$-环，$partial$是$RGamma$-模。一个合适的$RGamma$-子模块。$RGamma$-模块$partial$的$T$称为z ' $RGamma$-子模块，如果对于每个$tin partial, gamma $和$f in partial^{ast}=Hom_{R_{gamma}}(partial,R)，f(T)gamma T in T$意味着$T in T$或$f(T)in [T: _{R_{gamma}} partial]$。本文的目的是介绍$RGamma$-模的Z-素数$RGamma$-子模的一些有趣的定理和性质，以及表示r -模的推广Z-素数$RGamma$-子模的Z-素数$RGamma$-子模之间的关系。
{"title":"Z-prime gamma submodule of gamma modules","authors":"Ali Abd Alhussein Zyarah, Ahmad Hadi Hussain, H. K. Zghair","doi":"10.22075/IJNAA.2022.5461","DOIUrl":"https://doi.org/10.22075/IJNAA.2022.5461","url":null,"abstract":"Let $R$ be a $Gamma$-ring and $partial$ be an $RGamma$-module. A proper $RGamma$-submodule. $T$ of an $RGamma$-module $partial$ is called Z-prime $RGamma$-submodule if for each $tin partial, gamma in Gamma$ and $f in partial^{ast}=Hom_{R_{Gamma}}(partial,R),f(t)gamma t in T$ implies that either $t in T$ or $f(t)in [T: _{R_{Gamma}} partial]$. The purpose of this paper is to introduce interesting theorems and properties of Z- prime $RGamma$-submodule of $RGamma$-module and the relation of Z-prime $RGamma$-submodule, which represents of generalization Z-prime R-submodule of R-module.","PeriodicalId":14240,"journal":{"name":"International Journal of Nonlinear Analysis and Applications","volume":"13 1","pages":"97-102"},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68124282","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 : 2022-01-01DOI: 10.22075/IJNAA.2022.5602
Ali Naji Shaker
Wavelets are now perceived as a ground-breaking new mathematical apparatus in signal and picture handling, time arrangement analysis, geophysics, guess hypothesis, and numerous various zones. Wavelet analysis has been an effective way to deal with issues related to analysing a signal in both time and frequency areas. Analysing a non-stationary signal becomes difficult for the various transform methods. Wavelet transforms techniques like Fourier Transform (FT), short-time Fourier transforms (STFT), and wavelet transform (WT) methods and their application are also discussed in detail. Wavelet analysis can be applied to one-dimensional signals like audio signals as well as two-dimensional signals like images. However wavelet processing has wide applications, some of the applications and methods are discussed in the paper.
{"title":"Mathematical analysis wavelets characteristics and their applications","authors":"Ali Naji Shaker","doi":"10.22075/IJNAA.2022.5602","DOIUrl":"https://doi.org/10.22075/IJNAA.2022.5602","url":null,"abstract":"Wavelets are now perceived as a ground-breaking new mathematical apparatus in signal and picture handling, time arrangement analysis, geophysics, guess hypothesis, and numerous various zones. Wavelet analysis has been an effective way to deal with issues related to analysing a signal in both time and frequency areas. Analysing a non-stationary signal becomes difficult for the various transform methods. Wavelet transforms techniques like Fourier Transform (FT), short-time Fourier transforms (STFT), and wavelet transform (WT) methods and their application are also discussed in detail. Wavelet analysis can be applied to one-dimensional signals like audio signals as well as two-dimensional signals like images. However wavelet processing has wide applications, some of the applications and methods are discussed in the paper.","PeriodicalId":14240,"journal":{"name":"International Journal of Nonlinear Analysis and Applications","volume":"42 1","pages":"837-850"},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68125235","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 : 2022-01-01DOI: 10.22075/IJNAA.2022.5555
A. A. Ahmad
In this article, a modern analytical technique called Homotopy Analysis Method (HAM) has been applied to several partial differential equations to obtain their sequential solution. The performance of the method was analysed on partial differential equations and found to be computationally efficient. The homotopy analysis method (HAM) has been found to be effective. The numerical results have been improved by proposing a new technique that combines the numerical method with the Harris Hawks Optimization algorithm. The current numerical results are compared to the exact solutions and it's found to be in very good results.
{"title":"Solving partial differential equations via a hybrid method between homotopy analytical method and Harris hawks optimization algorithm","authors":"A. A. Ahmad","doi":"10.22075/IJNAA.2022.5555","DOIUrl":"https://doi.org/10.22075/IJNAA.2022.5555","url":null,"abstract":"In this article, a modern analytical technique called Homotopy Analysis Method (HAM) has been applied to several partial differential equations to obtain their sequential solution. The performance of the method was analysed on partial differential equations and found to be computationally efficient. The homotopy analysis method (HAM) has been found to be effective. The numerical results have been improved by proposing a new technique that combines the numerical method with the Harris Hawks Optimization algorithm. The current numerical results are compared to the exact solutions and it's found to be in very good results.","PeriodicalId":14240,"journal":{"name":"International Journal of Nonlinear Analysis and Applications","volume":"13 1","pages":"663-671"},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68125366","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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