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Modification of Lesnic’s Approach and New Analytic Solutions for Some Nonlinear Second-Order Boundary Value Problems with Dirichlet Boundary Conditions
Journal article   Open access  Peer reviewed

Modification of Lesnic’s Approach and New Analytic Solutions for Some Nonlinear Second-Order Boundary Value Problems with Dirichlet Boundary Conditions

Abdelhalim Ebaid
Zeitschrift für Naturforschung. A, A journal of physical sciences, Vol.65(8), pp.692-696
01/09/2010
DOI: https://doi.org/10.1515/zna-2010-8-910

Abstract

Adomian Decomposition Method Nonlinear Oscillator Troesch’s Problem
For solving nonlinear boundary value problems (BVPs), a main difficulty of using Adomian’s method is to find a canonical form which takes into account all the boundary conditions of the problem. This difficulty is overcome by using a modification for Lesnic’s approach developed in this paper. The effectiveness of the proposed procedure is verified by two nonlinear problems: the nonlinear oscillator equation and Troesch’s problem
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https://doi.org/10.1515/zna-2010-8-910View
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