Solution of Cauchy type singular integral equations of the first kind by using differential transform method

被引：7
|
作者：
Abdulkawi, M. [1 ]
机构：
[1] Najran Univ, Fac Sci & Arts, Dept Math, Najran, Saudi Arabia
来源：
APPLIED MATHEMATICAL MODELLING | 2015年 / 39卷 / 08期
关键词：
Integral equation; Cauchy kernel; Convolution kernel; Degenerate kernel; Differential transform method; APPROXIMATE SOLUTION;
D O I：
10.1016/j.apm.2014.10.003
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
The differential transform method is extended to solve the Cauchy type singular integral equations (CSIEs) over a finite interval. New theorems for transformation of Cauchy singular integrals are given with proofs. Approximate solutions of CSIEs with two types of kernels, Degenerate and convolution, are obtained. The system of linear equations for characteristic equation is solved analytically. Numerical results are shown to illustrate the efficiency and accuracy of the present method. (C) 2014 Elsevier Inc. All rights reserved.
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页码：2107 / 2118
页数：12
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