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BBMB方程的三种新的线性差分格式(英文) 被引量:1

Three New Linearized Finite Difference Schemes for Benjamin-Bona-Mahony-Burgers Equation
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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. 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.
出处 《宁夏大学学报(自然科学版)》 CAS 2013年第2期115-120,共6页 Journal of Ningxia University(Natural Science Edition)
基金 Supported by the Fundamental Research Funds for the Central Universities(zyz2011079) supported bythe National Natural Science Foundation of China(11161041)~~
关键词 Benjamin-Bona—Mahony-Burgers方程 线性差分格式 收敛性 稳定性 Benjamin-Bona Mahony-Burgers equation linearized difference scheme convergenee stability
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