Article ID Journal Published Year Pages File Type
1707680 Applied Mathematics Letters 2015 10 Pages PDF
Abstract

The aim of this article is to introduce a novel approach based on embedding Green’s function into a tailored linear integral operator then apply a well-known fixed point iterative scheme, such as Picard’s and Mann’s, for the numerical solution of initial and boundary value problems (IVPs and BVPs). The strategy provides insight into the proper setting of the variational iteration method (VIM) for BVPs. A convergence analysis of the method is included. A number of examples consisting of second and third order BVPs are presented to demonstrate the efficiency and applicability of the scheme.

Related Topics
Physical Sciences and Engineering Engineering Computational Mechanics
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