Numerical Solution of Volterra Integral Equation by Adomian Decomposition Method
Jian-Qiang Feng *
College of Mathematical Sciences, Yangzhou University, Yangzhou 225002, China.
Shiyi Sun
College of Mathematical Sciences, Yangzhou University, Yangzhou 225002, China.
*Author to whom correspondence should be addressed.
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.
Keywords: Linear and nonlinear, numerical method, Volterra integral equations of the second kind