| 一类时滞抛物型方程的差分格式 |
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| 引用本文： | 金元峰,侯成敏,崔海兰. 一类时滞抛物型方程的差分格式[J]. 延边大学学报(自然科学版), 2011, 0(4): 283-286 |
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| 作者姓名： | 金元峰 侯成敏 崔海兰 |
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| 作者单位： | [1] 延边大学理学院数学系,吉林延吉133002 [2]吉林市朝鲜族中学,吉林132001 |
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| 基金项目： | 国家自然科学基金资助项目（1161049）;延边大学科技发展项目（2010001） |
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| 摘 要： | 对一般的带有初边值问题的时滞抛物型方程建立了1个Crank-Nicolson型差分格式．用离散能量法证明了该差分格式解的存在唯一性和收敛性，其收敛阶数为o（r＾2＋h＾2），并用仿真结果验证了相关结论．
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| 关 键 词： | 延迟抛物偏微分方程 Crank-Nicolson差分格式 收敛性 |
A Difference Scheme for a Class of Delay Parabolic Equations |
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| JIN Yuan-feng,HOU Cheng-min,CUI Hai-lan. A Difference Scheme for a Class of Delay Parabolic Equations[J]. Journal of Yanbian University (Natural Science), 2011, 0(4): 283-286 |
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| Authors: | JIN Yuan-feng HOU Cheng-min CUI Hai-lan |
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| Affiliation: | 1. Department of Mathematics, College of Science, Yanbian University, Yanji 133002, China 2. Jilin Korean Middle School, Jilin 132001, China ) |
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| Abstract: | A Crank-Nicolson scheme is established for a general delay parabolic equation with the initial bounda- ry value problem. It is proved that the solution of the difference scheme is existence, uniqueness and conver- gence using the discrete energy method. The convergence order is o（r^2 ＋ h^2） in L∞^ norm. Finally, a numerical example is provided to testify the results. |
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| Keywords: | delay parabolic partial differential equations Crank-Nicolson difference scheme convergence |
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