Variational Iteration Method For Solving The Inverse Parabolic Problems

Variational iteration method which has been proposed by Ji-Huan He is widely applied to solve some differential equations and some special non-linear equations. Variational iteration method is very important in studying of the nonlinear problems and has been a powerful tool.While determining the solutions of the problems, we shall determinate some unknown control parameters. These problems play a very important role in many branches of engineering and sciences. Application of the variational iteration tech-nique to these inverse problems shows the rapid convergence of the sequence con-structed to the exact solution.This paper is divided into five sections.In section 1, we briefly introduce the research status of variational iteration me-thod and the content of this paper.In section 2, the preparation and the important conclusions of the variational theory are given.In section 3, we first introduce the basic ideas of the variational iteration method, then its simple applications and the modified variational iteration method are de-scribed.In section 4, the variational iteration method is applied to inverse parabolic problem.In section 5, the modified variational iteration method is applied to the multi -dimensional inverse parabolic problem.