Note on the Convergence Analysis of Homotopy Perturbation Method for Fractional Partial Differential Equations
Joint Authors
Taib, Bachok M.
Kılıçman, Adem
Elbeleze, Asma Ali
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-01-21
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Elbeleze, Asma Ali& Kılıçman, Adem& Taib, Bachok M.. 2013. Note on the Convergence Analysis of Homotopy Perturbation Method for Fractional Partial Differential Equations. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-1014817
Modern Language Association (MLA)
Elbeleze, Asma Ali…[et al.]. Note on the Convergence Analysis of Homotopy Perturbation Method for Fractional Partial Differential Equations. Abstract and Applied Analysis No. 2014 (2014), pp.1-8.
https://search.emarefa.net/detail/BIM-1014817
American Medical Association (AMA)
Elbeleze, Asma Ali& Kılıçman, Adem& Taib, Bachok M.. Note on the Convergence Analysis of Homotopy Perturbation Method for Fractional Partial Differential Equations. Abstract and Applied Analysis. 2013. Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-1014817
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1014817