Title
A reliable treatment of Abel's second kind singular integral equations.
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.
Year
DOI
Venue
2012
10.1016/j.aml.2012.01.034
Applied Mathematics Letters
Keywords
Field
DocType
Two-step Laplace decomposition algorithm,Laplace decomposition algorithm,Abel’s second kind singular integral equations
Laplace expansion,Mathematical optimization,Laplace transform,Singular integral,Mathematical analysis,Laplace–Stieltjes transform,Laplace transform applied to differential equations,Abel transform,Two-sided Laplace transform,Inverse Laplace transform,Mathematics
Journal
Volume
Issue
ISSN
25
11
0893-9659
Citations 
PageRank 
References 
5
0.65
2
Authors
2
Name
Order
Citations
PageRank
Majid Khan117419.68
Muhammad Asif Gondal2737.77