An Accelerated Homotopy Perturbation Method for Solving Nonlinear Two-Dimensional Volterra-Fredholm Integrodifferential Equations
Joint Authors
Hendi, Fatheah A.
Al-Qarni, M. M.
Source
Advances in Mathematical Physics
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-07-30
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
We propose and apply coupling of the variational iteration method (VIM) and homotopy perturbation method (HPM) to solve nonlinear mixed Volterra-Fredholm integrodifferential equations (VFIDE).
In this approach, we use a new formula called variational homotopy perturbation method (VHPM) and variational accelerated homotopy perturbation method (VAHPM).
This approach is based on the form of He’s polynomials and on a new form of He’s polynomials.
We discuss the convergence of the technique.
Some numerical examples are introduced to verify the efficiency of this technique.
American Psychological Association (APA)
Hendi, Fatheah A.& Al-Qarni, M. M.. 2017. An Accelerated Homotopy Perturbation Method for Solving Nonlinear Two-Dimensional Volterra-Fredholm Integrodifferential Equations. Advances in Mathematical Physics،Vol. 2017, no. 2017, pp.1-8.
https://search.emarefa.net/detail/BIM-1123341
Modern Language Association (MLA)
Hendi, Fatheah A.& Al-Qarni, M. M.. An Accelerated Homotopy Perturbation Method for Solving Nonlinear Two-Dimensional Volterra-Fredholm Integrodifferential Equations. Advances in Mathematical Physics No. 2017 (2017), pp.1-8.
https://search.emarefa.net/detail/BIM-1123341
American Medical Association (AMA)
Hendi, Fatheah A.& Al-Qarni, M. M.. An Accelerated Homotopy Perturbation Method for Solving Nonlinear Two-Dimensional Volterra-Fredholm Integrodifferential Equations. Advances in Mathematical Physics. 2017. Vol. 2017, no. 2017, pp.1-8.
https://search.emarefa.net/detail/BIM-1123341
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1123341