Solving the Integro-Differential Equations Using the Modified Laplace Adomian Decomposition Method

In this work, the modified Laplace Adomian decomposition method (LADM) is applied to solve the integro-differential equations. In addition, examples that illustrate the pertinent features of this method are presented, and the results of the study are discussed. We prove the convergence of LADM applied to the integro-differential equations. Also, the results show that the introduced method is a powerful tool for solving the integro-differential equations.