A collocation method for solving some integral equations in distributions

被引：0
|
作者：
Indratno, Sapto W. [1 ,2 ]
Ramm, Alexander G. [1 ]
机构：
[1] Kansas State Univ, Dept Math, Manhattan, KS 66506 USA
[2] Bandung Inst Technol, Dept Math, Bandung, Indonesia
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2011年 / 236卷 / 06期
关键词：
Integral equations in distributions; Signal estimation; Collocation method;
D O I：
10.1016/j.cam.2011.08.013
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A collocation method is presented for the numerical solution of a typical integral equation Rh := integral(D) R(x. y)h(y)dy = f (x), x is an element of (D) over bar of the class R. whose kernels are of positive rational functions of arbitrary selfadjoint elliptic operators defined in the whole space R(r), and D subset of R(r) is a bounded domain. Several numerical examples are given to demonstrate the efficiency and stability of the proposed method. (C) 2011 Elsevier B.V. All rights reserved.
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页码：1296 / 1313
页数：18
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