Article ID Journal Published Year Pages File Type
6421802 Applied Mathematics and Computation 2014 6 Pages PDF
Abstract

In this paper, a numerical method for solving Abel integral equation is presented. We first convert the integral equation to the algebraic equation. Then we find numerical inversion of Laplace transform by power series. At last the Padé approximants is effectively used to improve the convergence rate and accuracy of the computed series. The method is described and illustrated with numerical examples. The results reveal that the method is accurate and easy to implement.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
Authors
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