A New Homotopy Perturbation Method for Solving Systems of Nonlinear Equations of Emden-Fowler Type

Musa Rahama Gadallah, Tarig M Elzaki

Abstract


In this work, we apply the new homotopy perturbation method (NHPM) to get accurate results for solving systems of nonlinear equations of Emden–Fowler type, we indicate that our method (NHPM) is equivalent  to the variational iteration method (VIM) with a specific convex. Four examples  are given  to illustrate our proposed methods. The method is easy to carry out and gives very accurate solutions for solving linear and nonlinear differential equations.

 


Keywords


New Homotopy Perturbation Method, Adomian's polynomials, Variational Iteration Method, Emden–Fowler type equations, systems of nonlinear partial differential equations.

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