A Numerical Algorithm Based on RBFs for Solving an Inverse Source Problem

被引：0
作者：
A. Shidfar
Z. Darooghehgimofrad
机构：
[1] Iran University of Science and Technology,Department of Mathematics
来源：
Bulletin of the Malaysian Mathematical Sciences Society | 2017年 / 40卷
关键词：
Inverse problem; Radial basis function; Tikhonov regularization; Meshless method; Thin plate splines; 35K05; 35E05; 65L09; 65M80;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, a meshless numerical scheme for solving an inverse source problem is considered. The proposed scheme is based on approximating the solution employing the thin plate spline (TPS) radial basis function (RBF). Applying this radial basis function results in a badly ill-condition system of equations. The Tikhonov regularization method is employed for solving this system of equations. Determination of regularization parameter is based on generalized cross-validation (GCV) technique. Some numerical examples are presented to demonstrate the accuracy and ability of this method.
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页码：1149 / 1158
页数：9
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