]*>","")" /> 正则长波方程的一个新的差分方法

• 论文 •

正则长波方程的一个新的差分方法

1. 石油大学(华东)!东营;257061;中国科学院应用数学研究所!北京;100080
• 出版日期:2000-04-20 发布日期:2000-04-20

A NEW FINITE DIFFERENCE METHOD FOR REGULARLZED LONG-WAVE EQUATION

1. Zhang Lu-ming (University of Petroleum, Dongying, China) Chang Qian-shun (Institute of Applied Mathematics, Academia Sinica, Beijing, China)
• Online:2000-04-20 Published:2000-04-20
In this paper, a finite difference method for a initial-boundary value problem of regularized long-wave equation was considered. A energy conservative finite difference scheme of three levels was proposed. Convergence and stability of difference solution were proved. The scheme needn't iterate, thus, requires less CPU time. Numerical experiment results demonstrate that the method is efficient and reliable.
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 [1] D.H. Peregrine, Calculations of the Development of an Unduiar Bore, J. Fluid Mech. 25 (1966),321-330. [2] J.C. Eilbeck, G.R. Mcguire, Numerical Study of the Regularized Long Wave Equation. I: Numerical Methods, J. Combut. Phys. 19 (1975), 43-57. [3] J.C. Eilbeck, G.R. Mcguire, Numerical Study of the Regularized Long Wave Epuation. II: Numerical Methods, J. Comput. Phys. 23 (1977), 63-73. [4] Q. Chang, G. Wang, B. Guo, Conservative Scheme for a Model of Nonlinear Dispersive Wavesand its Solitary Waves induced by Boundary notion, J. Comput. Phes. 93 (1991), 360-375. [5] M.B. Alexender, J. LI. Moms, Galerkin Method Applied to Some Model Equations for NonlinearDis persive Waves, J. Comput. Phys- 3O (1979), 428-451. [6] L.R.T. Gardner, G.A. Gardner, Solitary Waves of Regularized Long Wave Equation, J. Comput.Phys. 91 (1990), 441-59.
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