Numerical solution of an integral equation arising in the problem of cruciform crack using Daubechies scale function

被引：6

作者：

Mouley, Jyotirmoy ^{[1
]}

Panja, M. M. ^{[2
]}

Mandal, B. N. ^{[3
]}

机构：

[1] Univ Calcutta, Dept Math Appl, 92 APC Rd, Kolkata 700009, India

[2] Visva Bharati, Dept Math, Santini Ketan 731235, W Bengal, India

[3] Indian Stat Inst, Phys & Appl Math Unit, 203 BT Rd, Kolkata 700108, India

来源：

MATHEMATICAL SCIENCES | 2020年 / 14卷 / 01期

关键词：

Cruciform crack; Integral equation; Daubechies scale function; Daubechies wavelet; Gauss-Daubechies quadrature rule;

D O I：

10.1007/s40096-019-00312-w

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with obtaining approximate numerical solution of a classical integral equation of some special type arising in the problem of cruciform crack. This integral equation has been solved earlier by various methods in the literature. Here, approximation in terms of Daubechies scale function is employed. The numerical results for stress intensity factor obtained by this method for a specific forcing term are compared to those obtained by various methods available in the literature, and the present method appears to be quite accurate.

引用

页码：21 / 27

页数：7

共 50 条

[1] Numerical solution of an integral equation arising in the problem of cruciform crack using Daubechies scale function
Jyotirmoy Mouley
M. M. Panja
B. N. Mandal
Mathematical Sciences, 2020, 14 : 21 - 27
[2] Numerical solution of a singular integral equation arising in a cruciform crack problem
Zhong, Xian-Ci
Wei, Han-Mei
Long, Xiao-Yu
APPLICABLE ANALYSIS, 2017, 96 (10) : 1767 - 1783
[3] ON THE NUMERICAL TREATMENT OF AN INTEGRAL-EQUATION ARISING FROM A CRUCIFORM CRACK PROBLEM
MONEGATO, G
PROSSDORF, S
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 1990, 12 (06) : 489 - 502
[4] Numerical solution of multiple crack problem by using hypersingular integral equation
Chen, YZ
INTERNATIONAL JOURNAL OF FRACTURE, 1997, 88 (01) : L9 - L14
[5] NUMERICAL-SOLUTION FOR A CRUCIFORM CRACK PROBLEM
CHEN, YZ
INTERNATIONAL JOURNAL OF FRACTURE, 1993, 63 (02) : R31 - R34
[6] Solution of second kind integral equation with Cauchy type kernel using Daubechies scale function
Panja, M. M.
Mandal, B. N.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2013, 241 : 130 - 142
[7] Approximate solution to an integral equation with fixed singularity for a cruciform crack
Tang, Bao-Qing
Li, Xian-Fang
APPLIED MATHEMATICS LETTERS, 2008, 21 (12) : 1238 - 1244
[8] Numerical solution of three-dimensional crack problem by using hypersingular integral equation
Chen, YZ
Lee, KY
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2001, 190 (31) : 4019 - 4026
[9] NUMERICAL-SOLUTION OF A CURVED CRACK PROBLEM BY USING HYPERSINGULAR INTEGRAL-EQUATION APPROACH
CHEN, YZ
ENGINEERING FRACTURE MECHANICS, 1993, 46 (02) : 275 - 283
[10] Numerical solution of nonlinear integral equation arising in optometry
Katani, R.
Majidifar, S.
ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2022, 15 (12)

← 1 2 3 4 5 →