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Finite volume method for solving a one-dimensional parabolic inverse problem |
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| Authors: | Bo Wang Guang-an Zou Peng ZhaoQiang Wang |
| Institution: | a Institute of Applied Mathematics, Henan University, Kaifeng 475004, PR China b College of Mathematics and Information Science, Henan University, Kaifeng 475004, PR China c College of Mechanical Engineering, Tianjin University, Tianjin 300072, PR China d Department of Mathematics, Tianjin University, Tianjin 300072, PR China |
| Abstract: | 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. |
| Keywords: | Parabolic partial differential equations Inverse problem Finite volume method Difference schemes |
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