Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
473250 | Computers & Mathematics with Applications | 2008 | 9 Pages |
Abstract
An inverse problem is to determine unknown causes based on observation of their effects. Such problems often arise in scientific research and engineering practice. In this paper we present a parameter inversion method for a class of reaction-diffusion systems by the use of the Picard contraction mapping. We firstly establish an approximate differential equation model which corresponds to the given reaction-diffusion system, and discuss the contractivity of the Picard mapping associated with the approximate model. Then we provide an algorithm for recovering parameters of the reaction-diffusion system based on the Collage theorem. Numerical tests show that the proposed method is efficient.
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Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Xiaoyan Deng, Bangju Wang, Guangqing Long,