Non-polynomial splines method for numerical solutions of the regularized long wave equation

被引：3
作者：
Lin, Bin [1 ]
机构：
[1] Zhanjiang Normal Univ, Sch Math & Computat Sci, Zhanjiang 524048, Peoples R China
来源：
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 2015年 / 92卷 / 08期
关键词：
65D05; 65D07; RLW EQUATION; GALERKIN METHOD; APPROXIMATION;
D O I：
10.1080/00207160.2014.950254
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we construct a numerical method based on cubic splines in tension for solving regularized long wave equation. The truncation error is analysed and the method shows that by choosing suitably parameters we can obtain various accuracy schemes. Numerical stability of the method has been studied by using a linearized stability analysis. Test problems are dealt with. The numerical simulations can validate and demonstrate the advantages of the method.
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收藏
页码：1591 / 1607
页数：17
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