Application of compact local integrated RBF (CLI-RBF) for solving transient forward and backward heat conduction problems with continuous and discontinuous sources

被引：5

作者：

Abbaszadeh, Mostafa ^{[1
]}

Ebrahimijahan, Ali ^{[1
]}

Dehghan, Mehdi ^{[1
]}

机构：

[1] Amirkabir Univ Technol, Fac Math & Comp Sci, Dept Appl Math, 424, Hafez Ave, Tehran 15914, Iran

来源：

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS | 2023年 / 146卷

关键词：

Integrated radial basis functions; Inverse heat problems; Method of lines; Collocation approach; Chemical engineering; Discontinuous sources; RADIAL BASIS FUNCTIONS; INVERSE PROBLEM; TEMPERATURE; APPROXIMATIONS; CONVECTION; IMPLICIT; PLATE;

D O I：

10.1016/j.enganabound.2022.08.027

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

It is well-known that the inverse heat problems (IHP) are ill-posed such that we encounter to some difficulties in the numerical techniques. In the current article, a numerical technique based on the compact local integrated radial basis function (CLI-RBF) method is developed for solving IHP with continuous/discontinuous heat source. For this aim, the derivative of space variable is discretized by the CLIRBF procedure that in this manner yields a system of ODEs related to the time variable. Then, the final system of ODEs is solved by adaptive fourth -order Runge-Kutta algorithm. Finally, several challenging examples are solved by the new numerical method. The computer implementations confirm that the present method has enough accuracy for solving IHP with continuous/discontinuous heat source in one-and two-dimensional cases.

引用

页码：733 / 748

页数：16