A reliable treatment of Abel’s second kind singular integral equations |
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Authors: | Majid Khan Muhammad Asif Gondal |
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Institution: | Department of Sciences and Humanities, National University of Computer and Emerging Sciences Islamabad, 44000 Islamabad, Pakistan |
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Abstract: | 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. |
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