| 扩散反应方程的三次样条高阶差分格式 |
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| 引用本文： | 田振夫.扩散反应方程的三次样条高阶差分格式[J].湖北大学学报(自然科学版),1997,19(2):111-115. |
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| 作者姓名： | 田振夫 |
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| 作者单位： | 宁夏大学应用数学研究所 |
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| 基金项目： | 宁夏回族自治区教委科研基金 |
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| 摘 要： | 基于发展的三次样条是差分公式，提出了两种数值求解含源汇扩散反应方程的二层三结点高，精度差分格式，格式推导过程简便，精度在时间和空间方向上分别达到二阶和四阶，且均为无条件稳定的，最后通过数值算例检验了格式的优良性态。
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| 关 键 词： | 扩散反应方程 三次样条 差分格式 精度 |
CUBICSPLINE DIFFERENCE SCHEMES OF HIGHORDER ACCURACY FOR DIFFUSIONREACTION EQUATION |
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| Tian Zhenfu.CUBICSPLINE DIFFERENCE SCHEMES OF HIGHORDER ACCURACY FOR DIFFUSIONREACTION EQUATION[J].Journal of Hubei University(Natural Science Edition),1997,19(2):111-115. |
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| Authors: | Tian Zhenfu |
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| Abstract: | Based on cubicspline difference formula developed by the author, two new twolevel highorder accurate finitedifference schemes using three spatial grid points are presented in this paper for solving the diffusionreaction equation with source term. The schemes are unconditionally stable and have high accuracy of two order in time and four order in space. Numerical example are given to illustreat behavior of the present schemes. |
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| Keywords: | Diffusionreaction equation Cubicspline Finitedifference schenme Higher order accuracy |
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