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Application of the variational iteration method to inverse heat source problems

✍ Scribed by Fazhan Geng; Yingzhen Lin

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
343 KB
Volume
58
Category
Article
ISSN
0898-1221

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✦ Synopsis

This paper investigates the inverse problem of determining a heat source in the parabolic heat equation using the usual conditions. The numerical solution is developed by using the variational iteration method. This method is based on the use of Lagrange multipliers for the identification of optimal values of parameters in a functional. Using this method a rapid convergent sequence can be obtained which tends to the exact solution of the problem. Furthermore, the variational iteration method does not require the discretization of the problem. Thus the variational iteration method is suitable for finding the approximation of the solution without discretization of the problem. Two numerical examples are presented to illustrate the strength of the method.

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