Finite volume method for solving a one-dimensional parabolic inverse problem

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• 作者：Bo Wang^a ; ^b ; ^{wangbo_sbu@163.com} ; Guang-an Zou^b ; ^{zouguangan@gmail.com} ; Peng Zhao^b ; Qiang Wang^c ; ^d
• 关键词：Parabolic partial differential equations ; Inverse problem ; Finite volume method ; Difference schemes
• 刊名：Applied Mathematics and Computation
• 出版年：2011
• 出版时间：15 February 2011
• 年：2011
• 卷：217
• 期：12
• 页码：5227-5235
• 全文大小：430 K

文摘

In this paper, finite volume method is used to solve a one-dimensional parabolic inverse problem with source term and Neumann boundary conditions for the first time. Some advantages of this approach are developing difference schemes and maintaining certain properties of the physics of the problems, especially for the treatment of the source term and the unknown boundary conditions. Numerical results show that our method is more effective.