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Numerical solution of an integral equation arising in the problem of cruciform crack using Daubechies scale function
Mathematical Sciences ( IF 1.9 ) Pub Date : 2019-11-12 , DOI: 10.1007/s40096-019-00312-w
Jyotirmoy Mouley , M. M. Panja , B. N. Mandal

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.

中文翻译:

利用Daubechies尺度函数求解十字形裂纹问题积分方程的数值解。

本文涉及获得十字形裂纹问题中某些特殊类型经典积分方程的近似数值解。该积分方程早已通过文献中的各种方法求解。在此,采用基于道贝基斯尺度函数的近似。将通过该方法获得的特定强迫项的应力强度因子的数值结果与通过文献中可用的各种方法获得的数值结果进行了比较,并且本方法似乎非常准确。
更新日期:2019-11-12
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