A Reliable Algorithm for Solving System of Multi-Pantograph Equations

In this article, a new series solution of a system of pantograph equations is established using the residual power series method (RPSM). The proposed method produces the solution in terms of a convergent infinite series, requiring no linearization, perturbation or discretization, in some cases it reproduces the exact solutions. We apply the RPSM to solve the multi-pantograph equations, and we show that the outcomes are very accurate. Some examples are given to demonstrate the simplicity and efficiency of the proposed method. Comparisons to the Laplace decomposition approach are made to verify the efficiency and applicability of the presented method in solving similar problems.