Novel Meshfree Scheme For Solving The Inverse Cauchy problem Of Heat Conduction

被引：0
作者：
Surbhi Arora
Jaydev Dabas
机构：
[1] Indian Institute of Technology,Department of Applied Sciences and Engineering
来源：
Proceedings of the National Academy of Sciences, India Section A: Physical Sciences | 2022年 / 92卷
关键词：
Method of fundamental solutions; Inverse Cauchy problem; Energy MFS; Regularization; 35A08; 35K05; 35R25; 35R30;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The paper presents a meshfree technique based on the method of fundamental solutions (MFS) and the energy equation associated with the model, to optimize the location of source points. Over the years, the simplest way of distributing the source set has been on a fixed contour lying outside of the considered domain. In this study, a method automates the optimal placement of the source points with the help of the energy conservation equation. The implementation of the scheme is carried forward for the inverse Cauchy problem of heat conduction, and numerical results are provided to establish the new scheme as a superior alternative to MFS.
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页码：411 / 418
页数：7
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