Meshless Method Based on Radial Basis Functions for Solving Parabolic Partial Differential Equations with Variable Coefficients

被引：11

作者：

Li, Ming ^{[1
]}

Chen, C. S. ^{[2
]}

Tsai, C. H. ^{[2
]}

机构：

[1] City Univ Hong Kong, Dept Math, Hong Kong, Hong Kong, Peoples R China

[2] Univ So Mississippi, Dept Math, Hattiesburg, MS 39406 USA

来源：

NUMERICAL HEAT TRANSFER PART B-FUNDAMENTALS | 2010年 / 57卷 / 05期

关键词：

HEAT-CONDUCTION PROBLEMS; FUNDAMENTAL-SOLUTIONS;

D O I：

10.1080/10407790.2010.481489

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

The method of approximate particular solutions is extended for solving initial-boundary-value problems for general parabolic partial differential equations (PDEs) with variable coefficients. The main idea is to reduce the parabolic PDEs into a series of elliptic PDEs and approximate the unknown solution by the closed-form particular solution using radial basis functions. Numerical experiments in two and three dimensions show that the proposed scheme is accurate and easy to implement.

引用

页码：333 / 347

页数：15

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