ANALYTICAL APPROXIMATE SOLUTION OF NON-LINEAR PROBLEM BY HOMOTOPY PERTURBATION METHOD (HPM)

Abstract

Nonlinear phenomena played a very important role in science especially in the field of applied Mathematics, Physics and Engineering etc., since after the appearance of super computer; it is not difficult to obtain the solution of linear problem. But unfortunately, it is still difficult to solve nonlinear problem analytically. Commonly, the nonlinear problem is determined to be the type of nonlinear equation and then using the analytic method for its solution. The analytic methods are fast developing, but still have some deficiencies. Homotopy Perturbation Method was first presented [1,2]. The method of Homotopy Perturbation Method applied by many authors to find the solution of various nonlinear problem in the field of science and engineering [3-6].