4.1 Article

A new analytical solution procedure for nonlinear integral equations

Journal

MATHEMATICAL AND COMPUTER MODELLING
Volume 55, Issue 7-8, Pages 1892-1897

Publisher

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.mcm.2011.11.044

Keywords

Two step Laplace decomposition method; Laplace decomposition method; Nonlinear Volterra integral equations

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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. (C) 2011 Elsevier Ltd. All rights reserved.

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