Solving Linear and Non-Linear Stiff System of Ordinary Differential Equations by Multi Stage Homotopy Perturbation Method
In this paper, linear and non-linear stiff systems of ordinary differential equations are solved by the multi-stage
homotopy perturbation method (MHPM). The MHPM is a technique adapted from the standard homotopy perturbation method
(HPM) where standard HPM is converted into a hybrid numeric-analytic method called multistage homotopy perturbation
method (HPM). The MHPM is tested for several examples. Comparisons with an explicit Runge-Kutta-type method (RK)
demonstrate the promising capability of the MHPM for solving linear and non-linear stiff systems of ordinary differential
Index Terms- Stiff system of ODEs, Runge-Kutta-type method, homotopy perturbation method, Multistage HPM.