Article ID Journal Published Year Pages File Type
1702798 Applied Mathematical Modelling 2016 6 Pages PDF
Abstract

•A new approach is introduced to construct the variational iteration algorithm-II for diffusion problems.•The sufficient conditions for convergence of variational iteration method applied to two-point diffusion problems are established.•An error analysis is given and can be used to estimate the number of steps necessary to obtain the required accuracy in advance.

A new approach is introduced to construct the variational iteration algorithm-II for diffusion problems. Based on this algorithm, the sufficient conditions for convergence of variational iteration method applied to this type of two-point boundary value problems are established. An error analysis is also presented. Several examples are given to illustrate the convergence concept and error estimate.

Related Topics
Physical Sciences and Engineering Engineering Computational Mechanics
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