A Novel Spacetime Collocation Meshless Method for Solving Two- Dimensional Backward Heat Conduction Problems

Chihyu Liu; Chengyu Ku; Jingen Xiao; Weichung Yeih

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A Novel Spacetime Collocation Meshless Method for Solving Two- Dimensional Backward Heat Conduction Problems

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In this article,a meshless method using the spacetime collocation for solving the two-dimensional backward heat conduction problem(BHCP)is proposed.The spacetime collocation meshless method(SCMM)is to derive the general solutions as the basis functions for the two-dimensional transient heat equation using the separation of variables.Numerical solutions of the heat conduction problem are expressed as a series using the addition theorem.Because the basis functions are the general solutions of the governing equation,the boundary points may be collocated on the spacetime boundary of the domain.The proposed method is verified by conducting several heat conduction problems.We also carry out numerical applications to compare the SCMM with other meshless methods.The results show that the SCMM is accurate and efficient.Furthermore,it is found that the recovered boundary data on inaccessible boundary can be obtained with high accuracy even though the over specified data are provided only at a 1/6 portion of the spacetime boundary.

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《工程与科学中的计算机建模（英文）》 |2019年第1期|P.229-252|共24页
作者
Chihyu Liu; Chengyu Ku; Jingen Xiao; Weichung Yeih;
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作者单位

Department of Harbor and River Engineering National Taiwan Ocean University Keelung 20224 Taiwan;

Department of Harbor and River Engineering National Taiwan Ocean University Keelung 20224 Taiwan;

Center of Excellence for Ocean Engineering National Taiwan Ocean University Keelung 20224 Taiwan.;

Department of Harbor and River Engineering National Taiwan Ocean University Keelung 20224 Taiwan;

Department of Harbor and River Engineering National Taiwan Ocean University Keelung 20224 Taiwan;

Center of Excellence for Ocean Engineering National Taiwan Ocean University Keelung 20224 Taiwan.;

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原文格式 PDF
正文语种 chi
中图分类数学分析;
关键词
Spacetime; collocation; meshless method; backward heat conduction problem; basis functions.;

机译：Spacetime;搭配;无网格方法;向后导热问题;基函数。;

A Novel Spacetime Collocation Meshless Method for Solving Two- Dimensional Backward Heat Conduction Problems

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