Abstract: In this article, we develop a method to obtain approximate solutions of nonlinear coupled partial differential equations with the help of Laplace Decomposition Method (LDM). The technique is based on the application of Laplace transform to nonlinear coupled partial differential equations. The nonlinear term can easily be handled with the help of Adomian polynomials. We illustrate this...

In this work we adopt a combination of Laplace transform and the decomposition method to find numerical solutions of a system of multi-pantograph equations. The procedure leads to a rapid convergence of the series to the exact solution after computing a few terms. The effectiveness of the method is demonstrated in some examples by obtaining the exact solution and in others by computing the abso...

A new method for approximate analytic series solution called multistep Laplace Adomian Decomposition Method MLADM has been proposed for solving the model for HIV infection of CD4 T cells. The proposed method is modification of the classical Laplace Adomian Decomposition Method LADM with multistep approach. Fourth-order Runge-Kutta method RK4 is used to evaluate the effectiveness of the proposed...

In this paper, the Combined Laplace Transform-Adomian Decomposition Method is used to solve nth-order integro-differential equations. The results show that the method is very simple and effective.