Laplace Decomposition Approximation Solution for a System of Multi-Pantograph Equations

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 absolute error which decreases as the number of terms of the series increases. Keywords— Laplace decomposition, pantograph equations, exact solution, numerical solution, approximate solution.