A new analytical solution procedure for nonlinear integral equations

A new analytical solution procedure for nonlinear integral equations

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Article ID: iaor20122212
Volume: 55
Issue: 7-8
Start Page Number: 1892
End Page Number: 1897
Publication Date: Apr 2012
Journal: Mathematical and Computer Modelling
Authors: , ,
Keywords: decomposition, Laplace approximation
Abstract:

The chief aim of the present article is to introduce a new analytical technique, two‐step Laplace decomposition method (TSLDM) for nonlinear Volterra integral equations. The newly proposed method efficiently find exact solution with less computation as compared with standard Laplace decomposition method (LDM). The proposed algorithm is used to solve nonlinear Volterra integral equations effectively and overcome the deficiencies in Laplace decomposition method (LDM) easily.

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