Table of Contents
Advances in Numerical Analysis
Volume 2014, Article ID 547973, 8 pages
http://dx.doi.org/10.1155/2014/547973
Research Article

Identifying an Unknown Coefficient in the Reaction-Diffusion Equation Using He’s VIM

Department of Mathematics, Alzahra University, Vanak, Tehran 19834, Iran

Received 16 July 2014; Accepted 2 October 2014; Published 19 October 2014

Academic Editor: Delin Chu

Copyright © 2014 F. Parzlivand and A. M. Shahrezaee. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

An inverse heat problem of finding an unknown parameter p(t) in the parabolic initial-boundary value problem is solved with variational iteration method (VIM). For solving the discussed inverse problem, at first we transform it into a nonlinear direct problem and then use the proposed method. Also an error analysis is presented for the method and prior and posterior error bounds of the approximate solution are estimated. The main property of the method is in its flexibility and ability to solve nonlinear equation accurately and conveniently. Some examples are given to illustrate the effectiveness and convenience of the method.