A comparison study between the modified decomposition method and the traditional methods for solving nonlinear integral equations

In this paper, we conduct a comparative study between the modified decomposition method and two of the traditional methods for analytic treatment of nonlinear integral and integro-differential equations. The proper implementation of the modified method can dramatically minimize the size of work if compared to existing traditional techniques. The analysis is accompanied by examples that demonstrate the comparison and show the pertinent features of the modified technique.