Numerical Analysis of Time-Fractional Diffusion Equations via a Novel Approach
The aim of this paper is a new semianalytical technique called the variational iteration transform method for solving fractional-order diffusion equations. In the variational iteration technique, identifying of the Lagrange multiplier is an essential rule, and variational theory is commonly used for...
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2021-01-01
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Series: | Journal of Function Spaces |
Online Access: | http://dx.doi.org/10.1155/2021/9945364 |
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doaj-1091d49eaa244a41b2d0d491291b36b62021-06-07T02:13:41ZengHindawi LimitedJournal of Function Spaces2314-88882021-01-01202110.1155/2021/9945364Numerical Analysis of Time-Fractional Diffusion Equations via a Novel ApproachNehad Ali Shah0S. Saleem1Ali Akgül2Kamsing Nonlaopon3Jae Dong Chung4Department of Mechanical EngineeringDepartment of MathematicsSiirt UniversityDepartment of MathematicsDepartment of Mechanical EngineeringThe aim of this paper is a new semianalytical technique called the variational iteration transform method for solving fractional-order diffusion equations. In the variational iteration technique, identifying of the Lagrange multiplier is an essential rule, and variational theory is commonly used for this purpose. The current technique has the edge over other methods as it does not need extra parameters and polynomials. The validity of the proposed method is verified by considering some numerical problems. The solution achieved has shown that the better accuracy of the proposed technique. This paper proposes a simpler method to calculate the multiplier using the Shehu transformation, making a valuable technique to researchers dealing with various linear and nonlinear problems.http://dx.doi.org/10.1155/2021/9945364 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Nehad Ali Shah S. Saleem Ali Akgül Kamsing Nonlaopon Jae Dong Chung |
spellingShingle |
Nehad Ali Shah S. Saleem Ali Akgül Kamsing Nonlaopon Jae Dong Chung Numerical Analysis of Time-Fractional Diffusion Equations via a Novel Approach Journal of Function Spaces |
author_facet |
Nehad Ali Shah S. Saleem Ali Akgül Kamsing Nonlaopon Jae Dong Chung |
author_sort |
Nehad Ali Shah |
title |
Numerical Analysis of Time-Fractional Diffusion Equations via a Novel Approach |
title_short |
Numerical Analysis of Time-Fractional Diffusion Equations via a Novel Approach |
title_full |
Numerical Analysis of Time-Fractional Diffusion Equations via a Novel Approach |
title_fullStr |
Numerical Analysis of Time-Fractional Diffusion Equations via a Novel Approach |
title_full_unstemmed |
Numerical Analysis of Time-Fractional Diffusion Equations via a Novel Approach |
title_sort |
numerical analysis of time-fractional diffusion equations via a novel approach |
publisher |
Hindawi Limited |
series |
Journal of Function Spaces |
issn |
2314-8888 |
publishDate |
2021-01-01 |
description |
The aim of this paper is a new semianalytical technique called the variational iteration transform method for solving fractional-order diffusion equations. In the variational iteration technique, identifying of the Lagrange multiplier is an essential rule, and variational theory is commonly used for this purpose. The current technique has the edge over other methods as it does not need extra parameters and polynomials. The validity of the proposed method is verified by considering some numerical problems. The solution achieved has shown that the better accuracy of the proposed technique. This paper proposes a simpler method to calculate the multiplier using the Shehu transformation, making a valuable technique to researchers dealing with various linear and nonlinear problems. |
url |
http://dx.doi.org/10.1155/2021/9945364 |
work_keys_str_mv |
AT nehadalishah numericalanalysisoftimefractionaldiffusionequationsviaanovelapproach AT ssaleem numericalanalysisoftimefractionaldiffusionequationsviaanovelapproach AT aliakgul numericalanalysisoftimefractionaldiffusionequationsviaanovelapproach AT kamsingnonlaopon numericalanalysisoftimefractionaldiffusionequationsviaanovelapproach AT jaedongchung numericalanalysisoftimefractionaldiffusionequationsviaanovelapproach |
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1721393067068489728 |