Presenter/Author Information

Tao Min
Zhulin Hao
Minquan Feng
Hansong Tang

Keywords

parabolic equation, inverse problem, levenberg–marquardt

Start Date

1-7-2010 12:00 AM

Description

The problem of determining unknown parameters in the two-dimensional heat equationis considered. A method based on the Levenberg–Marquardt algorithm (LMA) is examined. Theapproach is successfully applied to solve the inverse problem of a two-dimensional parabolicequation whose coefficient is a partition paragraph function. The numerical results demonstrate theeffectiveness of the proposed method.

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Jul 1st, 12:00 AM

Parameter Inversion Model for Two Dimensional Parabolic Equation Using Levenberg-Marquardt Method

The problem of determining unknown parameters in the two-dimensional heat equationis considered. A method based on the Levenberg–Marquardt algorithm (LMA) is examined. Theapproach is successfully applied to solve the inverse problem of a two-dimensional parabolicequation whose coefficient is a partition paragraph function. The numerical results demonstrate theeffectiveness of the proposed method.