Application of Adomian Decomposition Method Solving Volterra Integral Equation

Abstract

In this work, definitions and classifications of integral equations are described. Next, Adomian decomposition method is observed. Moreover, Adomian decomposition method is set out with the aim of solving linear and nonlinear Volterra integral equations. Finally, some applications are expressed to demonstrate the effectiveness of Adomian decomposition methods for solving linear and nonlinear Volterra integral equations, the modified decomposition method and the Laplace transform method by using MATLAB.