ALTERNATING DIRECTION FINITE ELEMENT METHOD FOR SOME REACTION DIFFUSION MODELS |
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| Authors: | Jiang Chengshun |
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| Institution: | Department of Information Research, Institute of Information Engineering, Information Engineering University, Zhengzhou 450002, PRC;Department of Mathematics, Shandong University, Jinan 250100, PRC;The State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116024, PRC |
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| Abstract: | This paper is concerned with some nonlinear reaction - diffusion models. To solve this kind of models, the modified Laplace finite element scheme and the alternating direction finite element scheme are established for the system of patrical differential equations. Besides, the finite difference method is utilized for the ordinary differential equation in the models. Moreover, by the theory and technique of prior estimates for the differential equations, the convergence analyses and the optimal L2-norm error estimates are demonstrated. |
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| Keywords: | reaction - diffusion model Laplace finite element alternating direction scheme optimal L2-norm error estimate |
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