QUINTIC B-SPLINE METHOD FOR NUMERICAL SOLUTION OF THE ROSENAU-BURGERS EQUATION

被引：0
|
作者：
Abazari, Reza [1 ]
Yildirim, Kenan [2 ]
机构：
[1] Univ Mohaghegh Ardabili, Dept Math, Ardebil, Iran
[2] Mus Alparslan Univ, Dept Math, Mus, Turkey
来源：
SIGMA JOURNAL OF ENGINEERING AND NATURAL SCIENCES-SIGMA MUHENDISLIK VE FEN BILIMLERI DERGISI | 2019年 / 37卷 / 03期
关键词：
Rosenau-Burgers equation; quintic b-spline method; Crank-Nicolson scheme; Thomas algorithm; COLLOCATION METHOD; SCHEME;
D O I：
暂无
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper, the quintic B-spline method is employed to calculatenumerical solution of the initial-boundary value problem of Rosenau-Burgersequation. This scheme is based on the Crank-Nicolson formulation for time integration and quintic B-spline functions for space integration. The unconditional stability of the method is proved using Von-Neumann approach. A priori bound and the error estimates of the approximate solutions are discussed with a numerical example.
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收藏
页码：967 / 979
页数：13
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