A reliable treatment of Abel¡¯s second kind singular integral equations

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• 作者：Majid Khan ; Muhammad Asif Gondal
• 关键词：Two-step Laplace decomposition algorithm ; Laplace decomposition algorithm ; Abel&rsquo ; s second kind singular integral equations
• 刊名：Applied Mathematics Letters
• 出版年：2012
• 出版时间：November, 2012
• 年：2012
• 卷：25
• 期：11
• 页码：1666-1670
• 全文大小：191 K

文摘

The central idea of this paper is to construct a new mechanism for the solution of Abel¡¯s type singular integral equations that is to say the two-step Laplace decomposition algorithm. The two-step Laplace decomposition algorithm (TSLDA) is an innovative adjustment in the Laplace decomposition algorithm (LDA) and makes the calculation much simpler. In this piece of writing, we merge the Laplace transform and decomposition method and present a novel move toward solving Abel¡¯s singular integral equations.