TY - JOUR ID - TI - Solving Partial Differential Equations by Homotopy Perturbation Method AU - Aqeel Falih Jaddoa PY - 2015 VL - 21 IS - 89 /علمي SP - 157 EP - 167 JO - journal of the college of basic education مجلة كلية التربية الاساسية SN - 18157467 27068536 AB -

Keywords: Homotopy perturbation Method, Inhomogeneous Heat Equation, Inhomogeneous Advection Problem, Vibrating Beam Equation, The system of Nonlinear Partial Differential Equations. ABSTRACT In this paper, we submitted a good tool to solve linear and nonlinear partial differential equations which is called homotopy perturbation method. This method makes hard problems so easy to solve, in our paper we gave some various examples for linear and nonlinear partial differential equations by using this method. 1.INTRODUCTION Recently, many mathematicians seek new techniques to find exact and approximate solutions for nonlinear partial differential equations which describe different fields of science, physical phenomena, engineering, mechanics, and so on. Some modern methods have been appeared like homotopy perturbation method which is analytic technique for solving linear and nonlinear problems. The first mathematician proposed this was Ji-Huan in 1999,  . This method gives an analytical exact and approximate solutions of nonlinear partial differential equations easily without transforming the equation or linearizing the problem with a very good results. In , Abdul-Sattar J. AL-Saif and Dhifaf A.Abood solved Korteweg-de Vries (Kdv) equation and convergence study of homotopy perturbation method , R. Taghipour used the the homotopy perturbation method to solve linear and nonlinear parabolic equations,  A.A. Hemeda presented the modification homotopy perturbation method of the fractional order in Caputo sense and  D.D. Ganji, H. Mirgolbabaei, Me. Mjansari and Mo. Miansari employed the homotopy perturbation method to find solutions of linear and nonlinear systems of ordinary differential equations and differential equations of the order three. In this work, we present homotopy perturbation method for solving inhomogeneous heat problem and vibrating beam problem of the fourth order as linear examples ER -