求解抛物型和双曲型偏微分方程非局部初边值问题的齐次摄动方法

IF 1 Q1 MATHEMATICS

European Journal of Pure and Applied Mathematics Pub Date : 2023-07-30 DOI:10.29020/nybg.ejpam.v16i3.4794

W. Al-Hayani, Mahasin Thabet Younis

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引用次数: 1

摘要

为了获得具有积分型初值和非局部边界条件的线性和非线性抛物型和双曲型偏微分方程的非局部初边值问题的近似精确解，采用同伦摄动方法。该方法首先求解指定的非局部ibvp，然后将其转化为局部Dirichlet ibvp。一些例子证明了HPM的准确性和效率。

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查看原文本刊更多论文

The Homotopy Perturbation Method for Solving Nonlocal Initial-Boundary Value Problems for Parabolic and Hyperbolic Partial Differential Equations

To obtain approximate-exact solutions to nonlocal initial-boundary value problems (IBVPs) of linear and nonlinear parabolic and hyperbolic partial differential equations (PDEs) subject to initial and nonlocal boundary conditions of integral type, the homotopy perturbation method (HPM) is utilized in this study. The HPM is used to solve the specified nonlocal IBVPs, which are then transformed into local Dirichlet IBVPs. Some examples demonstrate how accurate and efficient the HPM.

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来源期刊

European Journal of Pure and Applied Mathematics MATHEMATICS-

CiteScore

1.30

自引率

28.60%

发文量

156