| 二维变系数非齐次抛物型方程的紧交替方向差分格式 |
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| 引用本文： | 马明书,王晓峰,马文娟.二维变系数非齐次抛物型方程的紧交替方向差分格式[J].河南科技大学学报(自然科学版),2008,29(3):88-91. |
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| 作者姓名： | 马明书 王晓峰 马文娟 |
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| 作者单位： | 河南师范大学,数学与信息科学学院,河南,新乡,453007 |
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| 基金项目： | 河南省教育厅自然科学基金 |
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| 摘 要： | 研究了二维变系数非齐次抛物型方程的紧交替方向隐式差分格式,首先运用算子方法导出了紧差分格式,给出了差分格式的截断误差,接着讨论了差分格式的稳定性和收敛性,最后给出了数值例子,数值结果和理论分析是吻合的.
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| 关 键 词： | 抛物型方程紧差分格式 交替方向隐式方法 稳定性和收敛性 |
| 文章编号： | 1672-6871(2008)03-0088-03 |
| 修稿时间： | 2007年11月5日 |
A Compact Alternate Direction Implicit Difference Method for the Two-dimension Parabolic Equations with Variable Coefficients |
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| MA Ming-Shu,WANG Xiao-Feng,MA Wen-Juan.A Compact Alternate Direction Implicit Difference Method for the Two-dimension Parabolic Equations with Variable Coefficients[J].Journal of Henan University of Science & Technology:Natural Science,2008,29(3):88-91. |
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| Authors: | MA Ming-Shu WANG Xiao-Feng MA Wen-Juan |
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| Institution: | MA Ming-Shu,WANG Xiao-Feng,MA Wen-Juan (College of Mathematics & Information Science,Henan Normal University,Xinxiang 453007,China) |
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| Abstract: | This paper presents a compact high accuracy alternate direct implicit difference scheme for solving the two-dimensional parabolic equation with variable coefficients.Firstly,a compact difference scheme is derived by using operator method.Secondly,a compact ADI difference scheme is presented by introducing a variable of intermediate value.Thirdly,the stability and convergence of the ADI scheme are conducted by using Fourier method.Finally,a numercial example demonstrates the theoretical results. |
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| Keywords: | Parabolic equation compact difference scheme ADI method Stability and converagence |
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