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A Variational-Fixed Point Iterative technique for the Solution of Second Order Differential Equations
Author(s) -
Adem Kılıçman,
K.R. Adeboye,
Mutah Wadai
Publication year - 2016
Publication title -
malaysian journal of science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.131
H-Index - 12
ISSN - 1394-3065
DOI - 10.22452/mjs.vol35no1.5
Subject(s) - mathematics , galerkin method , boundary value problem , fixed point , fixed point iteration , mathematical analysis , iterative method , fixed point theorem , differential equation , function (biology) , mathematical optimization , nonlinear system , physics , evolutionary biology , biology , quantum mechanics
In this paper, we propose a variational-fixed point iteration technique for the solution of second order linear differential equations with two-point boundary value problems. The proposed method is endowed with the Galerkin method for the determination of the starting function. The numerical results show the validity and efficiency of the proposed method in comparison withthe exact solution and other existing methods. Keywords: Variational iteration method, Galerkin method, Fixed point iteration method, Differential equation

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