A small time solutions for the Korteweg-de Vries equation using spline approximation

被引：11
|
作者：
Irk, D [1 ]
Dag, I
Saka, B
机构：
[1] Osmangazi Univ, Dept Math, TR-26480 Eskisehir, Turkey
[2] Osmangazi Univ, Comp Engn Dept, TR-26480 Eskisehir, Turkey
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2006年 / 173卷 / 02期
关键词：
D O I：
10.1016/j.amc.2005.04.018
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper the one-dimensional nonlinear Korteweg-de Vries (KdV) equation is numerically solved using second order spline approximation. The test problems concerning the propagation of a solution and two solution interaction are used to validate the proposal scheme and it is found to be both accurate and efficient at small times. Also, it is shown that the second order spline approximation may be used effectively at small times when the exact solution of the KdV equation is not known. (c) 2005 Elsevier Inc. All rights reserved.
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页码：834 / 846
页数：13
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