Solving nonlinear Volterra-Fredholm integro-differential equations using He's variational iteration method

In this paper, a nonlinear Volterra-Fredholm integro-differential equation is solved by using He's variational iteration method. The approximate solution of this equation is calculated in the form of a sequence where its components are computed easily. The accuracy of the proposed numerical sch...

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Bibliographic Details
Published in:International journal of computer mathematics 2011-03, Vol.88 (4), p.829-838
Main Authors: Fariborzi Araghi, M. A., Sadigh Behzadi, Sh
Format: Article
Language:English
Subjects:
Accuracy
Approximation
Computer simulation
Convergence
Decomposition
Differential equations
G.1.9
Integral equations
integro-differential equations
Iterative methods
Mathematical analysis
Mathematical models
Mathematical problems
modified Adomian decomposition method
Nonlinear equations
Nonlinearity
Uniqueness
variational iteration method
Volterra-Fredholm integral equations
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Summary:In this paper, a nonlinear Volterra-Fredholm integro-differential equation is solved by using He's variational iteration method. The approximate solution of this equation is calculated in the form of a sequence where its components are computed easily. The accuracy of the proposed numerical scheme is examined by comparing with the modified Adomian decomposition method. The existence and uniqueness of the solution and convergence of the proposed method are proved.
ISSN:0020-7160
1029-0265
DOI:10.1080/00207161003770394