Homotpy Perturbation Method]{Homotpy Perturbation Method for Solving Partial Differential Equations
کد مقاله : 1014-SHAA
راضیه میرزاوند *
دانشکده علوم ریاضی، دانشگاه پیام نور تهران
چکیده مقاله:
We apply a relatively new technique which is called the homotopy perturbation method (HPM) for solving linear and nonlinear partial differential equations. The suggested algorithm is quite efficient and is practically well suited for use in these problems. The proposed iterative schem finds the solution without any discretizion, linearization or restrictive assumptions. Several examples are given to verify the reliability and efficiency of the method. The fact that the HPM solves nonlinear problems without using Adomian's polynomials can be considered as a clear advantage of this technique over also we using the lie symmetry method the fundamental idea behind the symmetry transformation method in a system of PDES by utilizing lie symmetries and surface invariance condition. We first obtained the infinitesimals an comutation table with the help of maple software.
کلیدواژه ها:
lie groups, Homotopy perturbation method, Partial Differential Equations, Helmholtz Equation
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