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Research Article Open access CC BY 4.0

Numerical Solution of Volterra Integral Equation by Adomian Decomposition Method

Jian-Qiang Feng, Shiyi Sun

Asian Research Journal of Mathematics · pp. 1–12 · Published 1 May 2017

10.9734/ARJOM/2017/33105

Abstract

In this paper, we present a numerical method for solving linear and nonlinear Volterra integral equations of the second kind which is based on the use of Adomian decomposition method. It can effectively solve problems that may be complex when using the standard Adomian Decomposition Method such as complex integrals. It has mechanized steps that can be easily achieved in Matlab. We also prove its convergence and list a few numerical examples to show the effectiveness of the numerical method.

Linear and nonlinear numerical method Volterra integral equations of the second kind

Cited by 3

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