Numerical Solution of Volterra Integral Equation by Adomian Decomposition Method

Journal Title: Asian Research Journal of Mathematics - Year 2017, Vol 4, Issue 1

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.

Authors and Affiliations

Jian-Qiang Feng, Shiyi Sun

Keywords

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  • EP ID EP338336
  • DOI 10.9734/ARJOM/2017/33105
  • Views 156
  • Downloads 0

How To Cite

Jian-Qiang Feng, Shiyi Sun (2017). Numerical Solution of Volterra Integral Equation by Adomian Decomposition Method. Asian Research Journal of Mathematics, 4(1), 1-12. https://europub.co.uk/articles/-A-338336