A Radial Basis Function Collocation Method for Space-dependent Inverse Heat Problems

被引：41

作者：

Khan, Muhammad Nawaz ^{[1
]}

Ahmad, Imtiaz ^{[2
]}

Ahmad, Hijaz ^{[1
]}

机构：

[1] Univ Engn & Technol Peshawar, Dept Basic Sci, Peshawar 25000, Pakistan

[2] Univ Swabi, Dept Math, Khyber Pakhtunkhwa 23430, Pakistan

来源：

JOURNAL OF APPLIED AND COMPUTATIONAL MECHANICS | 2020年 / 6卷

关键词：

Meshless method; Radial basis function; Inverse heat source problem; Non-uniform nodes; Non-rectangular domains;

D O I：

10.22055/JACM.2020.32999.2123

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

In this study, a radial basis function collocation method (RBFCM) is proposed for the numerical treatment of inverse space-wise dependent heat source problems. Multiquadric radial basis function is applied for spatial discretization whereas for temporal discretization Runge-Kutta method of order four is employed. Numerical experiments for one, two and three-dimensional cases are included to test the efficiency and accuracy of the suggested method. Both non-rectangular and rectangular geometries with uniform and non-uniform points are taken into consideration and the obtained results are compared with the exact as well as with the techniques presented in recent literature.

引用

页码：1187 / 1199

页数：13

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