| 一类拟线性神经传播方程的紧LOD差分格式 |
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| 引用本文： | 高广花,王同科. 一类拟线性神经传播方程的紧LOD差分格式[J]. 天津师范大学学报(自然科学版), 2009, 29(1): 1-6 |
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| 作者姓名： | 高广花 王同科 |
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| 作者单位： | 天津师范大学数学科学学院,天津,300387 |
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| 摘 要： | 通过引入变量将方程从形式上降阶，提出了求解一类拟线性神经传播方程的紧局部一维（LOD）差分格式，并应用能量方法给出了格式的误差估计，得到该格式在L^2模下具有O（Δt^2＋h^4）的精度．最后通过数值例子验证了算法的有效性．
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| 关 键 词： | 拟线性神经传播方程 紧LOD差分格式 误差估计 |
Compact LOD finite difference scheme for a kind of quasi-linear nerve conduction equation |
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| GAO Guanghua,WANG Tongke. Compact LOD finite difference scheme for a kind of quasi-linear nerve conduction equation[J]. Journal of Tianjin Normal University(Natural Science Edition), 2009, 29(1): 1-6 |
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| Authors: | GAO Guanghua WANG Tongke |
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| Affiliation: | (College of Mathematical Science, Tianjin Normal University, Tianjin 300387, China) |
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| Abstract: | A kind of compact LOD finite difference scheme is proposed for a class of quasi-linear nerve conduction equation by introducing new variables to formally reduce the order of the equation, and by using the energy method the error estimate is given with the optimal order O（Δt^2＋h^4） in L^2 norm. Finally a numerical example is presented to illustrate the efficiency of the scheme. |
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| Keywords: | quasi-linear nerve conduction equation compact LOD finite difference scheme error estimate |
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