Dr Shabbir Hussain, Waqar Mirza, Mufliha Murtaza, Ansa Nazir, I. Hanif, Muhammad Ahmad
Flavonoids are natural polyphenolic compounds, which are responsible for the taste and colors of medicinal plants, herbs, fruits, vegetables. Fruits (e.g., Berries, cherries, plums, apples, lemons, oranges, and grapes etc) and vegetables (e.g., broad beans, olives, onions, spinach, shallot etc) are the main sources of flavonoids. They also exist abundantly in cocoa products, black and green tea, red wine, red pepper, chamomile, celery, parsley, ginkgo, and mint. Flavonoids derivatives can also be synthesized through esterification, halogenation, alkoxylation, alkylation, aromatic hydroxylation, acylation and conjugation with various organic compounds. Flavonoids can be supplemented in a staple of food as nutraceutical agents and have an important role in human diet. They possess diverse biological activities including anti-inflammation, anti-oxidation, anti-cancer, anti-diabetes, anti-obesity, antimutagenic, neuroprotective and also have beneficial effects on oxidative stress, inflammation, insulin resistance, lipid metabolism and neurodegenerative diseases (e.g., amyotrophic lateral sclerosis, Huntington’s disease, Parkinson’s disease and Alzheimer’s disease). Flavonoids contain a 15-carbon skeleton; the basic structure consists of a flavan nucleus, a combination of two benzene and one pyran rings. Flavonoids are divided into eight important groups i.e., flavones, flavanols, isoflavones, flavan-3-ols, flavanonols, anthocyanidins, chalcones, and flavanones. A structure-activity relationship exists between flavonoids and their antioxidant activities. Flavonoids are effective in chelating metal ions and scavenging free radicals. The antioxidant properties of flavonoids are governed by their –OH groups, differences in hydrophobicity and molecular planarity.
{"title":"Sources and Chemistry of Flavonoids; their Biological and Therapeutic Potential","authors":"Dr Shabbir Hussain, Waqar Mirza, Mufliha Murtaza, Ansa Nazir, I. Hanif, Muhammad Ahmad","doi":"10.32350/sir.62.03","DOIUrl":"https://doi.org/10.32350/sir.62.03","url":null,"abstract":"Flavonoids are natural polyphenolic compounds, which are responsible for the taste and colors of medicinal plants, herbs, fruits, vegetables. Fruits (e.g., Berries, cherries, plums, apples, lemons, oranges, and grapes etc) and vegetables (e.g., broad beans, olives, onions, spinach, shallot etc) are the main sources of flavonoids. They also exist abundantly in cocoa products, black and green tea, red wine, red pepper, chamomile, celery, parsley, ginkgo, and mint. Flavonoids derivatives can also be synthesized through esterification, halogenation, alkoxylation, alkylation, aromatic hydroxylation, acylation and conjugation with various organic compounds. Flavonoids can be supplemented in a staple of food as nutraceutical agents and have an important role in human diet. They possess diverse biological activities including anti-inflammation, anti-oxidation, anti-cancer, anti-diabetes, anti-obesity, antimutagenic, neuroprotective and also have beneficial effects on oxidative stress, inflammation, insulin resistance, lipid metabolism and neurodegenerative diseases (e.g., amyotrophic lateral sclerosis, Huntington’s disease, Parkinson’s disease and Alzheimer’s disease). Flavonoids contain a 15-carbon skeleton; the basic structure consists of a flavan nucleus, a combination of two benzene and one pyran rings. Flavonoids are divided into eight important groups i.e., flavones, flavanols, isoflavones, flavan-3-ols, flavanonols, anthocyanidins, chalcones, and flavanones. A structure-activity relationship exists between flavonoids and their antioxidant activities. Flavonoids are effective in chelating metal ions and scavenging free radicals. The antioxidant properties of flavonoids are governed by their –OH groups, differences in hydrophobicity and molecular planarity.","PeriodicalId":137307,"journal":{"name":"Scientific Inquiry and Review","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-06-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127029496","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}
A large class of complexities in mathematical physics, applied mathematics, and engineering are expressed as differential equations with few additions and certain conditions. This research article studies the solution of Volterra integral equations of the second kind where bulge functions take as a known function. To obtain an analytical solution, this study uses the Aboodh transform, the Aboodh inverse transform and the convolution theorem whereas it would be required to discover the precise solution of VIEs. We will also compare it with a numerical solution using a modified Simpson method, and finally, we will represent it graphically.
{"title":"Solution of Volterra integral equations of the 2nd kind with bulge function using Aboodh transform","authors":"Asif Iqbal Ali, Muhammad Kalim, Adnan Khan","doi":"10.32350/sir.62.02","DOIUrl":"https://doi.org/10.32350/sir.62.02","url":null,"abstract":"A large class of complexities in mathematical physics, applied mathematics, and engineering are expressed as differential equations with few additions and certain conditions. This research article studies the solution of Volterra integral equations of the second kind where bulge functions take as a known function. To obtain an analytical solution, this study uses the Aboodh transform, the Aboodh inverse transform and the convolution theorem whereas it would be required to discover the precise solution of VIEs. We will also compare it with a numerical solution using a modified Simpson method, and finally, we will represent it graphically.","PeriodicalId":137307,"journal":{"name":"Scientific Inquiry and Review","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-06-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131436968","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}
The assumption of normality and independence is necessary for statistical inference of control charts. Misleading results are obtained if the traditional control chart technique is applied on the auto-correlated data. When data is correlated, a time series model is employed to produce an optimum output. The objective is to create a new control chart methodology that takes the autocorrelation of observations into account. Charts of Moving Average, Exponentially Weighted and Cumulative Sum better perform in the existence of autocorrelation data for small and moderate changes. The proposed methodology is highly skilled and receptive to minor, moderate and major changes in the process. Propsed DMA chart increases efficiency of average run length (ARL) chart for moving average (MA) to detect the small to medium magnitude shifts in the mean. The simulation also demonstrates that the DMA chart with spans of w=10 and 15 generally performs well in terms of average run length (ARL) as compared to clasical MA. This research may be extended to a multivariate autocorrelated statistical process control, but it can also be used to recognise and categorise seven categories of traditional control chart patterns, such as Downward, Upward Shift, Normal Trend, Cyclic, Systematic patterns, Increasing and Decresing Trend. In order to identify and categorize a set of subclasses of abnormal patterns, this model (multivariate autocorrelated statistical process control chart) should employ a multilayer feed forward Artificial Neural Network (ANN) architecture controlled by a back-propagation learning rule.
{"title":"Double Moving Average Control Chart for Autocorrelated Data","authors":"Hira Arooj, K. Malik","doi":"10.32350/sir.62.01","DOIUrl":"https://doi.org/10.32350/sir.62.01","url":null,"abstract":"The assumption of normality and independence is necessary for statistical inference of control charts. Misleading results are obtained if the traditional control chart technique is applied on the auto-correlated data. When data is correlated, a time series model is employed to produce an optimum output. The objective is to create a new control chart methodology that takes the autocorrelation of observations into account. Charts of Moving Average, Exponentially Weighted and Cumulative Sum better perform in the existence of autocorrelation data for small and moderate changes. The proposed methodology is highly skilled and receptive to minor, moderate and major changes in the process. Propsed DMA chart increases efficiency of average run length (ARL) chart for moving average (MA) to detect the small to medium magnitude shifts in the mean. The simulation also demonstrates that the DMA chart with spans of w=10 and 15 generally performs well in terms of average run length (ARL) as compared to clasical MA. This research may be extended to a multivariate autocorrelated statistical process control, but it can also be used to recognise and categorise seven categories of traditional control chart patterns, such as Downward, Upward Shift, Normal Trend, Cyclic, Systematic patterns, Increasing and Decresing Trend. In order to identify and categorize a set of subclasses of abnormal patterns, this model (multivariate autocorrelated statistical process control chart) should employ a multilayer feed forward Artificial Neural Network (ANN) architecture controlled by a back-propagation learning rule.","PeriodicalId":137307,"journal":{"name":"Scientific Inquiry and Review","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116562887","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}
In this study, the introduction of statistical convergence and statistical Cauchy sequences with respect to neutrosophic metric spaces is motivated by the notion of statistical convergence in fuzzy metric spaces. We offer useful characterizations for statistically convergent and statistically Cauchy sequences.
{"title":"Statistically Convergent Sequences in Neutrosophic Metric Spaces","authors":"Usman Ali, Umar Ishtiaq, Khaleel Ahmad, Jahanzaib","doi":"10.32350/sir.61.03","DOIUrl":"https://doi.org/10.32350/sir.61.03","url":null,"abstract":"In this study, the introduction of statistical convergence and statistical Cauchy sequences with respect to neutrosophic metric spaces is motivated by the notion of statistical convergence in fuzzy metric spaces. We offer useful characterizations for statistically convergent and statistically Cauchy sequences.","PeriodicalId":137307,"journal":{"name":"Scientific Inquiry and Review","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-03-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127307204","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}
Weakly balanced repeated measurements designs (RMDs) are used to balance out residual effects where minimal balanced RMDs cannot be obtained. RMDs are equally important in periods of both equal and unequal sizes. There should be a general procedure to construct these designs. In this article, some generators are developed for the general construction of efficient minimal circular weakly balanced RMDs.
{"title":"General Construction of Efficient Circular Weakly Balanced Repeated Measurements Designs","authors":"Q. Mehmood, Kashif Rasheed, Khadija Noreen, Rashid Ahmed, Berihan R. Elemary","doi":"10.32350/sir.61.05","DOIUrl":"https://doi.org/10.32350/sir.61.05","url":null,"abstract":"Weakly balanced repeated measurements designs (RMDs) are used to balance out residual effects where minimal balanced RMDs cannot be obtained. RMDs are equally important in periods of both equal and unequal sizes. There should be a general procedure to construct these designs. In this article, some generators are developed for the general construction of efficient minimal circular weakly balanced RMDs.","PeriodicalId":137307,"journal":{"name":"Scientific Inquiry and Review","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-03-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116047928","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}
Wavelets play an essential part in numerical analysis. In this study, a novel numerical technique to solve fractional differential equations (FDEs) corresponding to initial conditions is presented using Haar wavelet approximations. Haar wavelet is first presented with an operational matrix of fractional order integration. Then, illustrative examples are presented to signify the validity and applicability of the proposed method.
{"title":"Operational Matrix of Fractional Order Integration and Its Application to Solve Fractional Differential Equations (FDEs) Using Haar Wavelet Collocation Method (HWCM)","authors":"A. Deshi, G. A. Gudodagi","doi":"10.32350/sir.61.04","DOIUrl":"https://doi.org/10.32350/sir.61.04","url":null,"abstract":"Wavelets play an essential part in numerical analysis. In this study, a novel numerical technique to solve fractional differential equations (FDEs) corresponding to initial conditions is presented using Haar wavelet approximations. Haar wavelet is first presented with an operational matrix of fractional order integration. Then, illustrative examples are presented to signify the validity and applicability of the proposed method. ","PeriodicalId":137307,"journal":{"name":"Scientific Inquiry and Review","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-03-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117280724","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}
The current study presents Lengyel-Epstein reaction model for the analysis of the reaction kinematics of the growth of Zinc oxide (ZnO) nanostructures using the fourth-order Runge-Kutta (RK) method. The aim is to propose an improved approximation technique for the computation of the concentrations of Zinc ion and Hydroxyl ion. For this purpose, a comparison of Euler's method with the fourth-order RK method was made to gauge their effectiveness in determining the concentrations of both ions. It was determined that the fourth-order RK method gives more stable results than Euler’s method. In this regard, the comparison with Euler's method showed that the rate of convergence of the RK method is more appropriate than Euler's method. Furthermore, it was also determined that the RK method validates the experimental results for the formation of ZnO nanostructures using the aqueous chemical growth (ACG) method.
{"title":"Implementation of Lengyel-Epstein Reaction Model for Zinc Oxide (ZnO) Nanostructures by Comparing Euler and Fourth-Order Runge–Kutta (RK) Methods","authors":"Kaniz Fatima, Basit Ali, Mahnoor","doi":"10.32350/sir.61.02","DOIUrl":"https://doi.org/10.32350/sir.61.02","url":null,"abstract":"The current study presents Lengyel-Epstein reaction model for the analysis of the reaction kinematics of the growth of Zinc oxide (ZnO) nanostructures using the fourth-order Runge-Kutta (RK) method. The aim is to propose an improved approximation technique for the computation of the concentrations of Zinc ion and Hydroxyl ion. For this purpose, a comparison of Euler's method with the fourth-order RK method was made to gauge their effectiveness in determining the concentrations of both ions. It was determined that the fourth-order RK method gives more stable results than Euler’s method. In this regard, the comparison with Euler's method showed that the rate of convergence of the RK method is more appropriate than Euler's method. Furthermore, it was also determined that the RK method validates the experimental results for the formation of ZnO nanostructures using the aqueous chemical growth (ACG) method.","PeriodicalId":137307,"journal":{"name":"Scientific Inquiry and Review","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-03-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122665754","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}
In this study, we present a univariate probability distribution through application of the three Sub and Super Exponential heavier-longer and lighter-shorter tails fitting. This univariate family includes the Lognormal, Gamma and Weibull distribution, the adequacy of the distribution tails is obtained by adequate Fitting Tests and descriptive Criterion. It emphasizes on tail values and is independent of the number of intervals. In this regards the time series analysis for the last three centuries of the logarithm population data sets over to Karachi region (from1729 to1946 and from 1951 to 2018) is used, which contains irregular and regular length and peaks, That peaks /tails fitting is attained by methods for validation and normality tests and defined by stochastic depiction. In other hand, Weibull and Lognormal distribution tails are found as heavier distribution by two validation tests (Maximum Likelihood Estimation and probability of correct selection), In the final section, the univariate probability distributions are used to Monte Carlo simulation for generating the actual population data, it indicates that the heavy-tailed Lognormal and Weibull distributions are also fitted contract than the more commonly seen lighter tailed Gamma distribution. So, the Monte Carlo Simulation performs the appropriate Lognormal and Weibull distributions for irregular and regular data and generate data values (298 and 69) from duration of 1729 to 2020 and 1951 to 2020. Copyright(c) The Author
{"title":"Application of Univariate Probability Distributions Fitting With Monte Carlo Simulation","authors":"Muhammad Ilyas, Shaheen Abbas, Afzal Ali","doi":"10.32350/sir.54.02","DOIUrl":"https://doi.org/10.32350/sir.54.02","url":null,"abstract":"In this study, we present a univariate probability distribution through application of the three Sub and Super Exponential heavier-longer and lighter-shorter tails fitting. This univariate family includes the Lognormal, Gamma and Weibull distribution, the adequacy of the distribution tails is obtained by adequate Fitting Tests and descriptive Criterion. It emphasizes on tail values and is independent of the number of intervals. In this regards the time series analysis for the last three centuries of the logarithm population data sets over to Karachi region (from1729 to1946 and from 1951 to 2018) is used, which contains irregular and regular length and peaks, That peaks /tails fitting is attained by methods for validation and normality tests and defined by stochastic depiction. In other hand, Weibull and Lognormal distribution tails are found as heavier distribution by two validation tests (Maximum Likelihood Estimation and probability of correct selection), In the final section, the univariate probability distributions are used to Monte Carlo simulation for generating the actual population data, it indicates that the heavy-tailed Lognormal and Weibull distributions are also fitted contract than the more commonly seen lighter tailed Gamma distribution. So, the Monte Carlo Simulation performs the appropriate Lognormal and Weibull distributions for irregular and regular data and generate data values (298 and 69) from duration of 1729 to 2020 and 1951 to 2020. \u0000Copyright(c) The Author","PeriodicalId":137307,"journal":{"name":"Scientific Inquiry and Review","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-01-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132294814","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}
Mixed metal oxides (CuO, ZnO, and MnO) nanoparticles (NPs) were synthesized by the green process which is simple, cost-effective, eco-friendly, and non-toxic. In the green synthesis method, rose petals extracts were used as a reducing and capping agent while salt solutions (CuCl2, MnCl2, and ZnSO4) were used as a precursor that lead to the formation of mixed metal oxides (CuO, ZnO, MnO) NPs. UV-Visible and FTIR spectroscopy were used for the analysis of mixed metal oxides (CuO, ZnO, MnO) NPs, which showed maximum absorbance in the range of 280 to 370 nm. The presence of particular peaks in FTIR verified the synthesis of mixed metal oxide nanoparticles. The antimicrobial and antifungal activities of mixed metal oxides (CuO, ZnO, MnO) NPs were carried out by the disc diffusion method and well diffusion method. Mixed metal oxides (CuO, ZnO, MnO) NPs showed antimicrobial activity against Escherichia coli and antifungal activity against Candida albicans, Curvularia lunata, Aspergillus niger, and Trichophyton simii. So, these mixed metal oxides (CuO, ZnO, MnO) NPs can be effective in the pharmaceutical sector. Keywords: antifungal, antimicrobial, green synthesis, mixed metal oxides nanoparticles (MONPs), rose petals extracts Copyright (c) The Authors
{"title":"Green Synthesis of Trimetallic Oxides of Mn, Cu, Zn Using Rose Petals and their Antimicrobial Activity","authors":"S. S. Gillani, S. Khan, R. Nazir, A. Qurashi","doi":"10.32350/sir.54.05","DOIUrl":"https://doi.org/10.32350/sir.54.05","url":null,"abstract":"Mixed metal oxides (CuO, ZnO, and MnO) nanoparticles (NPs) were synthesized by the green process which is simple, cost-effective, eco-friendly, and non-toxic. In the green synthesis method, rose petals extracts were used as a reducing and capping agent while salt solutions (CuCl2, MnCl2, and ZnSO4) were used as a precursor that lead to the formation of mixed metal oxides (CuO, ZnO, MnO) NPs. UV-Visible and FTIR spectroscopy were used for the analysis of mixed metal oxides (CuO, ZnO, MnO) NPs, which showed maximum absorbance in the range of 280 to 370 nm. The presence of particular peaks in FTIR verified the synthesis of mixed metal oxide nanoparticles. The antimicrobial and antifungal activities of mixed metal oxides (CuO, ZnO, MnO) NPs were carried out by the disc diffusion method and well diffusion method. Mixed metal oxides (CuO, ZnO, MnO) NPs showed antimicrobial activity against Escherichia coli and antifungal activity against Candida albicans, Curvularia lunata, Aspergillus niger, and Trichophyton simii. So, these mixed metal oxides (CuO, ZnO, MnO) NPs can be effective in the pharmaceutical sector. \u0000Keywords: antifungal, antimicrobial, green synthesis, mixed metal oxides nanoparticles (MONPs), rose petals extracts \u0000Copyright (c) The Authors","PeriodicalId":137307,"journal":{"name":"Scientific Inquiry and Review","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125422668","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}
An innovative technique of NPCS are being used in engineering, computer sciences and natural sciences field to solve PDEs and ODEs Problems. There are many problems not having exact solution or not much stable and convergent exact solution, to solve such problem one apply different approximation, iterative and many other methods. The developed technique is one of them and implemented on some homogeneous parabolic PDEs of different dimensions and getting results will compare with exact solution and one other existing method, by tabular and graphically as well. Graphs and Mathematical result are found by using MATHEMATICA. Copyright(c) The Authors
{"title":"Numerical Solution with Non-Polynomial Cubic Spline Technique of Order Four Homogeneous Parabolic Partial Differential Equations","authors":"Bilal Ahmad, Anjum Perviz, M. O. Ahmad, F. Dayan","doi":"10.32350/sir.54.03","DOIUrl":"https://doi.org/10.32350/sir.54.03","url":null,"abstract":"An innovative technique of NPCS are being used in engineering, computer sciences and natural sciences field to solve PDEs and ODEs Problems. There are many problems not having exact solution or not much stable and convergent exact solution, to solve such problem one apply different approximation, iterative and many other methods. The developed technique is one of them and implemented on some homogeneous parabolic PDEs of different dimensions and getting results will compare with exact solution and one other existing method, by tabular and graphically as well. Graphs and Mathematical result are found by using MATHEMATICA. \u0000Copyright(c) The Authors","PeriodicalId":137307,"journal":{"name":"Scientific Inquiry and Review","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-12-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126008377","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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