Solving Nonlinear Integral Equations by using Adomian DecompositionMethod

[摘要] In this paper, we propose a numerical method to solve the nonlinear integral equation of the second kind. We intend to approximate the solution of this equation by Adomian decomposition method using He’s polynomials. Several examples are given at the end of this paper with the exact solution is known. Also the error is estimated.

[关键词] Nonlinear Fredholm integral equation;Adomian decomposition method;Adomian polynomials;Approximate solutions;OriginPro 8 and MATHEMATICA v9 softwares