A predictor-corrector scheme for the numerical solution of the Boussinesq equation

被引：0
|
作者：
M. S. Ismail
A. G. Bratsos
机构：
[1] King Abdulaziz University,Department of Mathematics, College of Science
[2] Technological Educational Institution (T.E.I.) of Athens,Department of Mathematics
来源：
Journal of Applied Mathematics and Computing | 2003年 / 13卷 / 1-2期
关键词：
65B05; 47H17; 49D15; Boussinesq equation; soliton; finite-difference; predictor-corrector;
D O I：
10.1007/BF02936071
中图分类号：
学科分类号：
摘要：
A fourth order in time and second order in space scheme using a finite-difference method is developed for the non-linear Boussinesq equation. For the solution of the resulting non-liner system a predictor-corrector pair is proposed. The method is analyzed for local truncation error and stability. The results of a number of numerical experiments for both the single and the double-soliton waves are given.
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页码：11 / 27
页数：16
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