| BBMB方程的三种新的线性差分格式(英文) |
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| 引用本文： | 李彦刚,马维元,张申贵. BBMB方程的三种新的线性差分格式(英文)[J]. 宁夏大学学报(自然科学版), 2013, 0(2): 115-120 |
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| 作者姓名： | 李彦刚 马维元 张申贵 |
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| 作者单位： | [1]兰州工业学院基础学科部,甘肃兰州730000 [2]西北民族大学数学与计算机科学学院,甘肃兰州730030 |
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| 基金项目： | 中央高校基本科研业务费专项基金资助项目（zyz2011079）;国家自然科学基金资助项目（11161041） |
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| 摘 要： | 对于Benjamin-Bona-Mahony-Burgers方程的初边值问题提出了三种线性差分格式.证明了所提出的差分格式在L∞-范数意义下是二阶收敛的.最后,通过数值测试说明了所提出的格式是有效、实用的.
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| 关 键 词： | Benjamin-Bona-Mahony-Burgers方程 线性差分格式 收敛性 稳定性 |
Three New Linearized Finite Difference Schemes for Benj amin-Bona-Mahony-Burgers Equation |
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| Li Yangang,Ma Weiyuan,Zhang Shengui. Three New Linearized Finite Difference Schemes for Benj amin-Bona-Mahony-Burgers Equation[J]. Journal of Ningxia University(Natural Science Edition), 2013, 0(2): 115-120 |
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| Authors: | Li Yangang Ma Weiyuan Zhang Shengui |
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| Affiliation: | 2 (1. Department of Basic Sciences, Lanzhou Institute of Technology, Lanzhou 730000, China, 2. School of Mathematics and Computer Science, Northwest University for Nationalities, Lanzhou 730000, China) |
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| Abstract: | Three new linearized finite difference schemes are presented to solve an initial-boundary value problem of Benjamin-Bona-Mahony-Burgers equation. This schemes are convergent with the convergence rate of second order in a discrete L∞-norm. Some numerical tests are also given to demonstrate the validity and applicability of the pro- posed methods. |
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| Keywords: | Benjamin-Bona Mahony-Burgers equation linearized difference scheme convergenee stability |
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