| 基于三次B样条有限元法的BBMB方程数值解 |
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| 引用本文： | 徐莹莹,周丽萍,樊强,朴光日.基于三次B样条有限元法的BBMB方程数值解[J].延边大学理工学报,2014(3):194-198. |
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| 作者姓名： | 徐莹莹 周丽萍 樊强 朴光日 |
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| 作者单位： | 延边大学理学院数学系,吉林延吉133002 |
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| 摘 要： | 对空间和时间坐标分别采用三次B样条有限法和Crank-Nicolson差分法求得非线性BBMB方程的数值解,应用Von-Neumann稳定性理论证明了此方法的无条件稳定性,并且通过两个例子验证了该方法的有效性与可行性.
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| 关 键 词： | 三次B样条 有限元法 Crank-Nicolson差分法 BBMB方程 |
A numerical solution of the BBMB equation based on cubic B-spline finite element method |
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| XU Yingying,ZHOU Liping,FAN Qiang,PIAO Guangri.A numerical solution of the BBMB equation based on cubic B-spline finite element method[J].Journal of Yanbian University (Natural Science),2014(3):194-198. |
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| Authors: | XU Yingying ZHOU Liping FAN Qiang PIAO Guangri |
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| Affiliation: | ( Department of Mathematics, College of Science, Yanbian University, Yanji 133002, China ) |
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| Abstract: | A cubic B-spline finite element method for the spatial variable combined with a Crank-Nieolson scheme for the time variable is proposed to approximate a solution of Benjamin-Bona-Mahony-Burgers （BBMB） equation. Von-Neumann scheme is proposed to analyze the unconditionary stability of the present method. Finally, through two examples we demanstrate the effectiveness and feasibility of this method. |
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| Keywords: | cubic B-spline finite element method Crank-Nicolson difference method BBMB equation |
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