| Finite Difference Method for Reaction-Diffusion Nonlocal Boundary Conditions Equation with |
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| 作者姓名： | Jianming Liu Zhizhong Sun |
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| 作者单位： | [1]Department of Mathematics, Xuzhou Normal University, Xuzhou 221116, China [2]Department of Mathematics, Southeast University, Nanjing 210096, China |
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| 基金项目： | The work of Liu was supported by National Natural Science Founda- tion of China （Tian-yuan Foundation） under grant 10626044, and Foundation of Research Starmp of Xuzhou Normal University （KY2004111）. The work of Sun was supported by National Natural Science Foundation of China under grant 10471023. The authors thank the referees for their many valuable suggestions. |
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| 摘 要： |
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| 关 键 词： | 反应扩散方程 非局部边界条件 有限差分法 可解性 收敛 |
| 修稿时间： | 2005-05-142006-11-05 |
Finite Difference Method for Reaction-Diffusion Nonlocal Boundary Conditions Equation with |
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| Jianming Liu Zhizhong Sun.Finite Difference Method for Reaction-Diffusion Nonlocal Boundary Conditions Equation with[J].Numerical Mathematics A Journal of Chinese Universities English Series,2007,16(2):97-111. |
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| Abstract: | In this paper, we present a numerical approach to a class of nonlinear reactiondiffusion equations with nonlocal Robin type boundary conditions by finite difference methods. A second-order accurate difference scheme is derived by the method of reduction of order. Moreover, we prove that the scheme is uniquely solvable and convergent with the convergence rate of order two in a discrete L2-norm. A simple numerical example is given to illustrate the efficiency of the proposed method. |
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| Keywords: | Reaction-diffusion nonlocal Robin type boundary finite difference solv-ability convergence |
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