Sextic B-spline collocation method for the modified Burgers' equation

被引：30
|
作者：
Irk, Dursun [1 ]
机构：
[1] Eskisehir Osmangazi Univ, Dept Math & Comp Sci, Eskisehir, Turkey
来源：
KYBERNETES | 2009年 / 38卷 / 09期
关键词：
Numerical analysis; Cybernetics; FINITE-ELEMENT-METHOD; NUMERICAL-SOLUTIONS; GALERKIN METHOD; MESH;
D O I：
10.1108/03684920910991568
中图分类号：
TP3 [计算技术、计算机技术];
学科分类号：
0812 ;
摘要：
Purpose - The purpose of this paper is to investigate the numerical solutions of the Burgers' and modified Burgers' equation using sextic B-spline collocation method. Design/methodology/approach - Crank-Nicolson central differencing scheme has been used for the time integration and sextic B-spline functions have been used for the space integration to the modified and time splitted modified Burgers' equation. Findings - It has been found that the proposed method is unconditionally stable and obtained results are consistent with some earlier published studies. Originality/value - Sextic B-spline collocation method for the Burgers' and modified Burgers' equation is given.
引用
收藏
页码：1599 / 1620
页数：22
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