The Combined RKM and ADM for Solving Nonlinear Weakly Singular Volterra Integrodifferential Equations
Joint Authors
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-12-03
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
The reproducing kernel method (RKM) and the Adomian decomposition method (ADM) are applied to solve nth-order nonlinear weakly singular Volterra integrodifferential equations.
The numerical solutions of this class of equations have been a difficult topic to analyze.
The aim of this paper is to use Taylor’s approximation and then transform the given nth-order nonlinear Volterra integrodifferential equation into an ordinary nonlinear differential equation.
Using the RKM and ADM to solve ordinary nonlinear differential equation is an accurate and efficient method.
Some examples indicate that this method is an efficient method to solve nth-order nonlinear Volterra integro-differential equations.
American Psychological Association (APA)
Lv, Xueqin& Shi, Sixing. 2012. The Combined RKM and ADM for Solving Nonlinear Weakly Singular Volterra Integrodifferential Equations. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-10.
https://search.emarefa.net/detail/BIM-458041
Modern Language Association (MLA)
Lv, Xueqin& Shi, Sixing. The Combined RKM and ADM for Solving Nonlinear Weakly Singular Volterra Integrodifferential Equations. Abstract and Applied Analysis No. 2012 (2012), pp.1-10.
https://search.emarefa.net/detail/BIM-458041
American Medical Association (AMA)
Lv, Xueqin& Shi, Sixing. The Combined RKM and ADM for Solving Nonlinear Weakly Singular Volterra Integrodifferential Equations. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-10.
https://search.emarefa.net/detail/BIM-458041
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-458041