Note on the Convergence Analysis of Homotopy Perturbation Method for Fractional Partial Differential Equations

We apply the homotopy perturbation method to obtain the solution of partial differential equations of fractional order. This method is powerful tool to find exact and approximate solution of many linear and nonlinear partial differential equations of fractional order. Convergence of the method is pr...

Full description

Saved in:
Bibliographic Details
Main Authors: Asma Ali, Elbeleze,, Bachok M., Taib,, Adem, Kilicman,
Format: Article
Language:English
Published: Hindawi Publishing Corporation 2015
Subjects:
Online Access:http://ddms.usim.edu.my/handle/123456789/8320
Tags: Add Tag
No Tags, Be the first to tag this record!
id my.usim-8320
record_format dspace
spelling my.usim-83202018-04-02T03:07:06Z Note on the Convergence Analysis of Homotopy Perturbation Method for Fractional Partial Differential Equations Asma Ali, Elbeleze, Bachok M., Taib, Adem, Kilicman, Diffusion Order We apply the homotopy perturbation method to obtain the solution of partial differential equations of fractional order. This method is powerful tool to find exact and approximate solution of many linear and nonlinear partial differential equations of fractional order. Convergence of the method is proved and the convergence analysis is reliable enough to estimate the maximum absolute truncated error of the series solution. The fractional derivatives are described in the Caputo sense. Some examples are presented to verify convergence hypothesis and simplicity of the method. http://www.hindawi.com/journals/aaa/2014/803902/ 2015-06-11T01:57:09Z 2015-06-11T01:57:09Z 2014-01-01 Article 1085-3375 1687-0409 http://ddms.usim.edu.my/handle/123456789/8320 en Hindawi Publishing Corporation
institution Universiti Sains Islam Malaysia
building USIM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universit Sains Islam i Malaysia
content_source USIM Institutional Repository
url_provider http://ddms.usim.edu.my/
language English
topic Diffusion
Order
spellingShingle Diffusion
Order
Asma Ali, Elbeleze,
Bachok M., Taib,
Adem, Kilicman,
Note on the Convergence Analysis of Homotopy Perturbation Method for Fractional Partial Differential Equations
description We apply the homotopy perturbation method to obtain the solution of partial differential equations of fractional order. This method is powerful tool to find exact and approximate solution of many linear and nonlinear partial differential equations of fractional order. Convergence of the method is proved and the convergence analysis is reliable enough to estimate the maximum absolute truncated error of the series solution. The fractional derivatives are described in the Caputo sense. Some examples are presented to verify convergence hypothesis and simplicity of the method.
format Article
author Asma Ali, Elbeleze,
Bachok M., Taib,
Adem, Kilicman,
author_facet Asma Ali, Elbeleze,
Bachok M., Taib,
Adem, Kilicman,
author_sort Asma Ali, Elbeleze,
title Note on the Convergence Analysis of Homotopy Perturbation Method for Fractional Partial Differential Equations
title_short Note on the Convergence Analysis of Homotopy Perturbation Method for Fractional Partial Differential Equations
title_full Note on the Convergence Analysis of Homotopy Perturbation Method for Fractional Partial Differential Equations
title_fullStr Note on the Convergence Analysis of Homotopy Perturbation Method for Fractional Partial Differential Equations
title_full_unstemmed Note on the Convergence Analysis of Homotopy Perturbation Method for Fractional Partial Differential Equations
title_sort note on the convergence analysis of homotopy perturbation method for fractional partial differential equations
publisher Hindawi Publishing Corporation
publishDate 2015
url http://ddms.usim.edu.my/handle/123456789/8320
_version_ 1645152392147107840
score 13.222552