Algorithms for the numerical solution of a finite-part integral equation

被引：3

作者：

Tweed, J ^{[1
]}

St John, R ^{[1
]}

Dunn, MH ^{[1
]}

机构：

[1] Old Dominion Univ, Norfolk, VA 23529 USA

来源：

APPLIED MATHEMATICS LETTERS | 1999年 / 12卷 / 03期

关键词：

singular integral equation; finite-part integral; hypersingular integral; Galerkin method; collocation method;

D O I：

10.1016/S0893-9659(98)00163-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The authors investigate a hypersingular integral equation which arises in the study of acoustic wave scattering by moving objects. A Galerkin method and two collocation methods are presented for solving the problem numerically. These numerical techniques are compared and contrasted in three test problems. (C) 1999 Elsevier Science Ltd. All rights reserved.

引用

页码：3 / 9

页数：7

共 8 条

[1] [Anonymous], 1964, Handbook of mathematical functions
[2] DUNN MH, 1996, 961770 AIAA
[3] A TSCHEBYSCHEV EXPANSION OF SINGULAR INTEGRODIFFERENTIAL EQUATIONS WITH A DELTA-2 IN (S-T)/DELTA-S DELTA-T KERNEL
FRENKEL, A
[J]. JOURNAL OF COMPUTATIONAL PHYSICS, 1983, 51 (02) : 335 - 342
[4] GOLBERG MA, 1983, J INTEGRAL EQUAT, V5, P329
[5] THE CONVERGENCE OF SEVERAL ALGORITHMS FOR SOLVING INTEGRAL-EQUATIONS WITH FINITE PART INTEGRALS .2.
GOLBERG, MA
[J]. APPLIED MATHEMATICS AND COMPUTATION, 1987, 21 (04) : 283 - 293
[6] ON THE SOLUTION OF INTEGRAL-EQUATIONS WITH A GENERALIZED CAUCHY KERNEL
KAYA, AC
ERDOGAN, F
[J]. QUARTERLY OF APPLIED MATHEMATICS, 1987, 45 (03) : 455 - 469
[7] ON THE SOLUTION OF INTEGRAL-EQUATIONS WITH STRONGLY SINGULAR KERNELS
KAYA, AC
ERDOGAN, F
[J]. QUARTERLY OF APPLIED MATHEMATICS, 1987, 45 (01) : 105 - 122
[8] Magnus W., 1966, FORMULAS THEOREMS SP

← 1 →