Trigonometric quadratic B-spline subdomain Galerkin algorithm for the Burgers' equation

被引：7
|
作者：
Ay, Buket [1 ]
Dag, Idris [1 ]
Gorgulu, Melis Zorsahin [1 ]
机构：
[1] Eskisehir Osmangazi Univ, Math Comp Dept, Eskisehir, Turkey
来源：
OPEN PHYSICS | 2015年 / 13卷 / 01期
关键词：
Burgers' equation; Shock and travelling waves; Subdomain Galerkin method; Quadratic trigonometric B-splines; Crank-Nicolson method; NUMERICAL-SOLUTION; POLYNOMIAL CURVES;
D O I：
10.1515/phys-2015-0059
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
A variant of the subdomain Galerkin method has been set up to find numerical solutions of the Burgers' equation. Approximate function consists of the combination of the trigonometric B-splines. Integration of Burgers' equation has been achived by aid of the subdomain Galerkin method based on the trigonometric B-splines as an approximate functions. The resulting first order ordinary differential system has been converted into an iterative algebraic equation by use of the Crank-Nicolson method at successive two time levels. The suggested algorithm is tested on some well-known problems for the Burgers' equation.
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页码：400 / 406
页数：7
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