A Compact Filter Regularization Method for Solving Sideways Heat Equation

被引：0
|
作者：
Shukla, Ankita [1 ]
Mehra, Mani [1 ]
机构：
[1] IIT Delhi, Dept Math, New Delhi 110016, India
来源：
NUMERICAL COMPUTATIONS: THEORY AND ALGORITHMS, PT II | 2020年 / 11974卷
关键词：
Sideways heat equation; Compact filter regularization; Ill-posed problem; WAVELET;
D O I：
10.1007/978-3-030-40616-5_45
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
In this paper, the stable approximate solution of the sideways heat equation is numerically investigated. The problem is severely ill-posed because if the solution exists, it does not depend continuously on the data. We introduce the compact filter regularization as a new, simple and convenient regularization method. Furthermore, the numerical implementation of the method is discussed. The numerical example shows that the proposed method is efficient and feasible.
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页码：470 / 477
页数：8
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