| 对流扩散方程的样条子域精细积分分步格式 |
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| 引用本文： | 刘利斌,刘焕文,林丽烽.对流扩散方程的样条子域精细积分分步格式[J].福建农林大学学报(自然科学版),2009,38(1). |
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| 作者姓名： | 刘利斌 刘焕文 林丽烽 |
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| 作者单位： | 1. 广西民族大学数学与计算机科学学院,广西,南宁,530006
2. 广西民族大学数学与计算机科学学院,广西,南宁,530006;福建农林大学计算机与信息学院,福建,福州,350002 |
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| 基金项目： | 广西民族民族大学研究生教育创新基金，广西研究生教育创新计划 |
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| 摘 要： | 基于子域精细积分的思想和分步技术,针对常系数对流扩散方程,提出了一类含参数α>0(α<
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| 关 键 词： | 对流扩散方程 三次样条函数 子域精细积分 并行计算 分步格式 |
The alternating segment method of spline sub-domain precise integration for convection-diffusion equation |
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| LIU Li-bin,LIU Huan-wen,LIN Li-feng.The alternating segment method of spline sub-domain precise integration for convection-diffusion equation[J].Journal of Fujian Agricultural and Forestry University,2009,38(1). |
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| Authors: | LIU Li-bin LIU Huan-wen LIN Li-feng |
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| Institution: | 1.Department of Mathematics and Computer Science;Guangxi University for Nationalities;Nanning;Guangxi 530006;China;2.College of Computer and Information;Fujian Agriculture and Forestry University;Fuzhou;Fujian 350002;China |
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| Abstract: | Based on sub-domain precise integration method and cubic spline function approximation,the alternating segment method of spline sub-domain precise integration containing parameter α>0 for the first initial-boundary value problem of convection-diffusion equation was presented in this paper,which was unconditionally stable and had the advantages of parallel computing.The numerical example showed that the accuracy of the method was excellent,and the method could be conveniently used to solve the second and third initial-boundary value problems. |
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| Keywords: | convection-diffusion equation cubic spline function sub-domain precise integration parallel computing alternating segment method |
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