| 离散的反应扩散方程的波前解 |
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| 引用本文： | 李祥贵,王子亭. 离散的反应扩散方程的波前解[J]. 中国石油大学学报(自然科学版), 1997, 0(5) |
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| 作者姓名： | 李祥贵 王子亭 |
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| 作者单位： | 石油大学应用数学系!山东东营，257062 |
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| 摘 要： | 应用度理论研究了一类离散的非线性反应扩散方程，得到了波前解的存在条件，并在一定条件下，使用上下解方法证明了改型的离散方程的解收敛到连续问题的波前解．
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| 关 键 词： | 非线性 扩散方程 波前解 数值解 |
TRAVELLING WAVEFRONT SOLUTIONS OF DISCRETE REACTION DIFFUSION EQUATION |
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| Li Xianggui, Wang Ziting. TRAVELLING WAVEFRONT SOLUTIONS OF DISCRETE REACTION DIFFUSION EQUATION[J]. Journal of China University of Petroleum (Edition of Natural Sciences), 1997, 0(5) |
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| Authors: | Li Xianggui Wang Ziting |
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| Affiliation: | Li Xianggui; Wang Ziting |
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| Abstract: | The degree theory was applied to deal with a discrete nonlinear reaction diffusion equation. The existence condition of travelling wavefront whutions were obtained. In me hypothetic conditions, it was showed that the solutions of modified discrete equation converged to travelling wavefront soutions of the continous equation. |
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| Keywords: | Non-linearity Diffusion equation Travelling wavefront solution Numerical solution |
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