求解非齐次多谐方程的混合无网格法

IF 2.5 2区数学 Q1 MATHEMATICS, APPLIED

Computers & Mathematics with Applications Pub Date : 2025-07-22 DOI:10.1016/j.camwa.2025.07.023

C.S. Chen , Andreas Karageorghis , Q.G. Liu

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引用次数: 0

摘要

本文采用特解方法对二维和三维非齐次多谐方程的边值问题进行了数值求解。采用径向基函数配置法计算控制偏微分方程的近似特解，采用基本解法求解齐次问题。数值实验结果表明了该方法的有效性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Hybrid meshless method for solving inhomogeneous polyharmonic equations

We employ the method of particular solutions in the numerical solution of boundary value problems for inhomogeneous polyharmonic equations in two and three dimensions. An approximate particular solution of the governing partial differential equation is calculated using the radial basis function collocation method while the resulting homogeneous problems are solved using the method of fundamental solutions. The results of several numerical experiments demonstrate the efficacy of the proposed approach.

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来源期刊

Computers & Mathematics with Applications 工程技术-计算机：跨学科应用

CiteScore

5.10

自引率

10.30%

发文量

396

审稿时长

9.9 weeks

期刊介绍： Computers & Mathematics with Applications provides a medium of exchange for those engaged in fields contributing to building successful simulations for science and engineering using Partial Differential Equations (PDEs).