Homotopy Analysis Method for Second-Order Boundary Value Problems of Integrodifferential Equations
Joint Authors
El-Ajou, Ahmad
Abu Arqub, Omar
Momani, Shaher M.
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-09-19
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
In this paper, series solution of second-order integrodifferential equations with boundary conditions of the Fredholm and Volterra types by means of the homotopy analysis method is considered.
The new approach provides the solution in the form of a rapidly convergent series with easily computable components using symbolic computation software.
The homotopy analysis method provides us with a simple way to adjust and control the convergence region of the infinite series solution by introducing an auxiliary parameter.
The proposed technique is applied to a few test examples to illustrate the accuracy, efficiency, and applicability of the method.
The results reveal that the method is very effective, straightforward, and simple.
American Psychological Association (APA)
El-Ajou, Ahmad& Abu Arqub, Omar& Momani, Shaher M.. 2012. Homotopy Analysis Method for Second-Order Boundary Value Problems of Integrodifferential Equations. Discrete Dynamics in Nature and Society،Vol. 2012, no. 2012, pp.1-18.
https://search.emarefa.net/detail/BIM-466288
Modern Language Association (MLA)
El-Ajou, Ahmad…[et al.]. Homotopy Analysis Method for Second-Order Boundary Value Problems of Integrodifferential Equations. Discrete Dynamics in Nature and Society No. 2012 (2012), pp.1-18.
https://search.emarefa.net/detail/BIM-466288
American Medical Association (AMA)
El-Ajou, Ahmad& Abu Arqub, Omar& Momani, Shaher M.. Homotopy Analysis Method for Second-Order Boundary Value Problems of Integrodifferential Equations. Discrete Dynamics in Nature and Society. 2012. Vol. 2012, no. 2012, pp.1-18.
https://search.emarefa.net/detail/BIM-466288
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-466288