An effective modification of the homotopy perturbation method for stiff systems of ordinary differential equations

The present work deals with employing a new form of the homotopy perturbation method (NHPM) for solving stiff systems of linear and nonlinear ordinary differential equations (ODEs). In this scheme, the solution is considered as an infinite series that converges rapidly to the exact solution. Two problems are chosen as illustrative examples to show the effectiveness of the present method. In obtaining the exact solution for each case, the capability and the simplicity of the proposed technique is clarified.