期刊文献+

高阶紧致格式结合外推技巧求解对流扩散方程 被引量:3

High order compact scheme combined with extrapolation technique for solving convection-diffusion equations
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摘要 将Padé逼近方法、Richardson外推技巧、两重网格算法与紧致差分方法相结合,对线性对流扩散问题构造了一种新的高阶紧致差分格式,给出了格式的实现过程和误差估计,分析了稳定性。最后给出数值算例说明算法的有效性。 A compact difference scheme is constructed by means of the Padé approximation method,Richardson extrapolation technique and two-grid algorithm combined with a compact finite difference scheme for linear convection-diffusion problems.Realization of the scheme,analysis of stability and error estimated are presented.Finally,numerical examples are presented to clarify the method.
出处 《山东大学学报(理学版)》 CAS CSCD 北大核心 2011年第12期39-43,共5页 Journal of Shandong University(Natural Science)
基金 新疆维吾尔自治区自然科学基金资助项目(2010211B12)
关键词 紧致差分格式 Richardson外推技巧 两重网格算法 PADÉ逼近 compact difference scheme Richardson extrapolation technique two-grid algorighm Padé approximation
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参考文献12

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同被引文献17

  • 1Mohebbi A, Dehghan M. High order compact solution of the one dimensional heat and advection diffusion equations[J]. Appl.Math.Modell, 2010, 34(10): 3071-3084. 被引量:1
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  • 3Nabavi M, Kamran M H, Siddiqui J. Dargahi. A new 9-point sixth-order accurate compact finite- difference method for the Helmholtz equation[J]. Journal of Sound and Vibration, 2007(307): 972- 982. 被引量:1
  • 4Ding H F, Zhang Y X. Anew difference shceme with high accuracy and absolute stability for solving convection-diffusion equations[J]. Journal of Computational and Applied Mathematics, 2009, 230: 600-606. 被引量:1
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  • 6DING Heng - fei,ZHANG Yu - xin. A new difference shceme with high accuracy and absolute stability for solving convection - diffusion equations[ J ]. Journal of Computational and Applied Mathematics,2009,230 (2) :600- 606. 被引量:1
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  • 10Majid Nabavi, M H. Kamran Siddiqui, Javad Dargahi. A new 9-point sixth-order accurate compact finite-difference method for the Helmholtz e- quation [ J]. J Sound and Vib, 2007,30:72- 982. 被引量:1

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