An exponential cubic B-spline algorithm for solving the nonlinear Coupled Burgers' equation

被引：0
|
作者：
Hepson, Ozlem Ersoy [1 ]
Dag, Idris [2 ]
机构：
[1] Eskisehir Osmangazi Univ, Sci & Letters Fac, Math & Comp Sci Dept, TR-26480 Eskisehir, Turkey
[2] Eskisehir Osmangazi Univ, Engn & Architecture Fac, Comp Engn Dept, TR-26480 Eskisehir, Turkey
来源：
COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS | 2021年 / 9卷 / 04期
关键词：
Coupled Burgers' equation; Exponential cubic B-spline; Stability analysis; Collocation; DIFFERENTIAL QUADRATURE METHOD; NUMERICAL-SOLUTIONS; COLLOCATION METHOD; SIMULATION; SYSTEMS; SCHEME;
D O I：
10.22034/cmde.2020.39486.1727
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The collocation method based on the exponential cubic B-splines (ECB-splines) together with the Crank-Nicolson formula is used to solve nonlinear coupled Burgers' equation (CBE). This method is tested by studying three different problems. The proposed scheme is compared with some existing methods. It produced accurate results with the suitable selection of the free parameter of the ECB-spline function. It produces accurate results. Stability of the fully discretized CBE is investigated by the Von Neumann analysis.
引用
收藏
页码：1109 / 1127
页数：19
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