Proposing Adomian Decomposition Method to Treat two Dimensional Inhomogeneous Mixed Volterra- Fredholm Integral Equation

Abstract

in this project, for the first time reformulating and applying the Adomian decomposition method to treat the numerical solution of two dimensional inhomogeneous mixed Volterra- Fredholm integral equation of the second kind. Two new theorems are proved, which provide and prove the convergence of the method. Tables distributing the comparison of numerical results. For the criterion of the comparison, we compute the least square errors and the running time for the program. Finally, for proposing the technique two examples are solved for demonstrating the validity and applicability. The comparison make was made of results for different iterations. The squares least-square error and running time of the program are written in tables for supporting the method.