Numerical Method For The Wave And Nonlinear Diffusion Equations With The Homotopy Perturbation Method

Changbum Chun; Hossein Jafari; Yong-Il Kim

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Numerical Method For The Wave And Nonlinear Diffusion Equations With The Homotopy Perturbation Method

机译：同伦摄动法求解波动方程和非线性扩散方程的数值方法

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摘要

In this paper, the homotopy perturbation method and a modified homotopy perturbation method are used for analytical treatment of the wave equation and some nonlinear diffusion equations, respectively. Some examples are given to illustrate that a suitable choice of an initial solution can lead to the exact solution, this revealing the reliability and effectiveness of the method.

机译：本文采用同伦摄动法和改进的同伦摄动法分别对波动方程和一些非线性扩散方程进行解析处理。给出了一些例子来说明适当选择初始解可以得出精确的解，这表明了该方法的可靠性和有效性。

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来源
《Computers & mathematics with applications》 |2009年第7期|p.1226-1231|共6页
作者
Changbum Chun; Hossein Jafari; Yong-Il Kim;
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作者单位

Department of Mathematics, Sungkyunkwan University, Suwon 440-746, Republic of Korea;

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原文格式 PDF
正文语种 eng
中图分类计算机的应用;
关键词
homotopy perturbation method; he's polynomials; wave equation; d'alembert formula; nonlinear diffusion equations; approximate analytical solution; exact solutions;

机译：同伦摄动法;he多项式;波动方程;d'alembert公式;非线性扩散方程;近似解析解;精确解;

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1. Numerical solutions of the nonlinear integro-differential equations: Wavelet-Galerkin method and homotopy perturbation method [J] . Ghasemi M, Kajani MT, Babolian E Applied mathematics and computation . 2007,第1期

机译：非线性积分微分方程的数值解：小波-Galerkin方法和同伦摄动方法
2. Application of variational iteration method and homotopy-perturbation method for nonlinear heat diffusion and heat transfer equations [J] . Ganji DD, Afrouzi GA, Talarposhti RA Physics Letters, A . 2007,第6期

机译：变分迭代法和同伦摄动法在非线性热扩散和传热方程中的应用
3. Numerical Solutions for the Complex Nonlinear Wave Equation by the Homotopy Perturbation Method [J] . Ahmed El Haouzi, Abdellatif Khamlichi, Mohammed Bezzazi, Australian Journal of Basic and Applied Sciences . 2010,第1期

机译：用同伦摄动法求解复杂非线性波动方程的数值解
4. A Method for Solving Nonlinear Wave Equations with the Homotopy Perturbation Method [C] . Ezzati Reza, Tajdini Fateme Second International Conference on Computer Research and Development . 2010

机译：用同伦摄动法求解非线性波动方程的一种方法。
5. Spectral methods for the numerical solution of nonlinear dispersive wave equations. [D] . Pelloni, Beatrice. 1996

机译：非线性色散波方程数值解的频谱方法。
6. Homotopy perturbation method: a versatile tool to evaluate linear and nonlinear fuzzy Volterra integral equations of the second kind [O] . S. Narayanamoorthy, S. P. Sathiyapriya -1

机译：同伦摄动法：一种评估第二种线性和非线性模糊Volterra积分方程的多功能工具
7. Numerical method for the wave and nonlinear diffusion equations with the homotopy perturbation method [O] . Chun Changbum, Jafari Hossein, Kim Yong-Il 2009

机译：同伦摄动法求解波动方程和非线性扩散方程的数值方法。

Numerical Method For The Wave And Nonlinear Diffusion Equations With The Homotopy Perturbation Method

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