| ALTERNATING BAND CRANK-NICOLSON METHOD FOR δu／δt=δ^2u／δx^2＋δ^2u／δy^2 |
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| 引用本文： | 陈劲 张宝琳. ALTERNATING BAND CRANK-NICOLSON METHOD FOR δu／δt=δ^2u／δx^2＋δ^2u／δy^2[J]. 高校应用数学学报(英文版), 1993, 8(2): 150-162. DOI: 10.1007/BF02661999 |
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| 作者姓名： | 陈劲 张宝琳 |
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| 作者单位： | InstitudeofAppliedPhysicsandComputationalMathematics,P.O.Box8009,Beijing100088 |
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| 摘 要： | the Alternating Segment Crank-Nicolson scheme for one-dimensional diffusion equation has been developed in [1],and the Alternating Block Crank-Nicolson method for two-dimensional problem in [2].The methods have the advantages of parallel computing,stability and good accuracy.In this paper for the two-dimensional diffusion equation,the net region is divided into bands,a special kind of block.This method is called the alternating Band Crank-Nicolson method.
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| 关 键 词： | 二维空间 分布函数 有限微分方程 边界条件 |
Alternating band Crank-Nicolson method forfrac{{partial {text{u}}}}{{partial {text{t}}}} = frac{{partial ^2 {text{u}}}}{{partial {text{x}}^{text{2}} }} + frac{{partial ^2 {text{u}}}}{{partial {text{y}}^{text{2}} }} |
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| Chen Jing,Zhang Baolin. Alternating band Crank-Nicolson method forfrac{{partial {text{u}}}}{{partial {text{t}}}} = frac{{partial ^2 {text{u}}}}{{partial {text{x}}^{text{2}} }} + frac{{partial ^2 {text{u}}}}{{partial {text{y}}^{text{2}} }}[J]. Applied Mathematics A Journal of Chinese Universities, 1993, 8(2): 150-162. DOI: 10.1007/BF02661999 |
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| Authors: | Chen Jing Zhang Baolin |
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| Affiliation: | 1. Institute of Applied Physics and Computational Mathematics, P.O. Box 8009, 100088, Beijing
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| Abstract: | The Alternating Segment Crank-Nicolson scheme for one-dimensional diffusion equation has been developed in [1], and the Alternating Block Crank-Nicolson method for two-dimensional problem in [2]. The methods have the advantages of parallel computing, stability and good accuracy. In this paper for the two-dimensional diffusion equation, the net region is divided into bands, a special kind of block. This method is called the alternating Band Crank-Nicolson method. |
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