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

页码：S195 / S202

页数：8

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