| 对流方程的样条子域精细积分(SSPI)格式 |
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| 引用本文： | 刘利斌,刘焕文. 对流方程的样条子域精细积分(SSPI)格式[J]. 广西科学, 2008, 15(2): 148-150 |
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| 作者姓名： | 刘利斌 刘焕文 |
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| 作者单位： | 广西民族大学数学与计算机科学学院,广西南宁,530006 |
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| 基金项目： | 广西自然科学基金 , 广西研究生教育创新计划 , 广西民族大学研究生教育创新基金 |
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| 摘 要： | 针对对流方程第一类初边值问题,基于子域精细积分的思想,结合三次样条函数逼近,提出一个含参数α(α>0)无条件稳定的样条子域精细积分(SSPI)格式,并进行数值实验.SSPI格式求解对流方程有效,而且局部截断误差为O(ατ2 τ2 h4).SSPI格式不仅能够求解对流方程的第一类边值问题,而且能够求解第二类、第三类初边值问题,是一种有效的算法.
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| 关 键 词： | 对流方程 三次样条函数 子域精细积分 稳定性 |
| 收稿时间： | 2007-12-10 |
Spline Sub-domain Precise Integration Scheme for Solving Convection Equation |
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| LIU Li-bin and LIU Huan-wen. Spline Sub-domain Precise Integration Scheme for Solving Convection Equation[J]. Guangxi Sciences, 2008, 15(2): 148-150 |
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| Authors: | LIU Li-bin and LIU Huan-wen |
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| Affiliation: | College of Mathematics and Computer Science, Guangxi University for Nationalities, Nanning, Guangxi, 530006, China and College of Mathematics and Computer Science, Guangxi University for Nationalities, Nanning, Guangxi, 530006, China |
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| Abstract: | Based on sub-domain precise integration method and combined the cubic spline function approximation, it presents the Spline Sub-domain Precise Integration (SSPI)scheme containing parameter for the first initial-boundary value problem of convection equation.It is showed that this implicit scheme is unconditionally stable.The accuracy of the SSPI method is O (Tf2+f2+h2), and the present method can be conveniently used to solve the second and the third initial-boundary value problems, it is a effective method. |
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| Keywords: | convection equation cubic spline function sub-domain precise integration stability |
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