AN APPLICATION OF CUBIC B-SPLINE FINITE ELEMENT METHOD FOR THE BURGERS' EQUATION

被引：10
|
作者：
Aksan, Emine Nesligul [1 ]
机构：
[1] Inonu Univ, Art & Sci Fac, Dept Math, Malatya, Turkey
来源：
THERMAL SCIENCE | 2018年 / 22卷
关键词：
Burgers' equation; cubic B-spline functions; finite element method; NUMERICAL-SOLUTION;
D O I：
10.2298/TSCI170613286A
中图分类号：
O414.1 [热力学];
学科分类号：
摘要：
It is difficult to achieve exact solution of non-linear PDE, directly. Sometimes, it is possible to convert non-linear PDE into equivalent linear PDE by applying a convenient transformation. Hence, Burgers' equation replaces with heat equation by means of the Hope-Cole transformation. In this study, Burgers' equation was converted to a set of non-linear ODE by keeping non-linear structure of Burgers' equation. In this case, solutions for each of the non-linear ODE were obtained by the help of the cubic B-spline finite element method. Model problems were considered to verify the efficiency of this method. Agreement of the solutions was shown with graphics and tables.
引用
收藏
页码：S195 / S202
页数：8
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