B-spline collocation methods for numerical solutions of the Burgers' equation

被引：41
作者：
Dag, I [1 ]
Irk, D
Sahin, A
机构：
[1] Osmangazi Univ, Dept Comp Engn, TR-26480 Eskisehir, Turkey
[2] Osmangazi Univ, Dept Math, TR-26480 Eskisehir, Turkey
[3] Dumlupinar Univ, Dept Math, TR-43100 Kutahya, Turkey
来源：
MATHEMATICAL PROBLEMS IN ENGINEERING | 2005年 / 05期
关键词：
D O I：
10.1155/MPE.2005.521
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
Both time- and space-splitted Burgers' equations are solved numerically. Cubic B-spline collocation method is applied to the time-splitted Burgers' equation. Quadratic B-spline collocation method is used to get numerical solution of the space-splitted Burgers' equation. The results of both schemes are compared for some test problems.
引用
收藏
页码：521 / 538
页数：18
相关论文
共 17 条
[1]   A COLLOCATION SOLUTION FOR BURGERS-EQUATION USING CUBIC B-SPLINE FINITE-ELEMENTS [J].
ALI, AHA ;
GARDNER, GA ;
GARDNER, LRT .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1992, 100 (03) :325-337
[2]  
ALI AHA, 1990, MATHS PREPRINT SERIE, V9004
[3]  
Bateman H., 1915, Mon. Weather Rev., V43, P163
[4]  
Burgers J., 1948, Adv. Appl. Mech., DOI 10.1016/S0065-2156(08)70100-5
[5]   ON A QUASI-LINEAR PARABOLIC EQUATION OCCURRING IN AERODYNAMICS [J].
COLE, JD .
QUARTERLY OF APPLIED MATHEMATICS, 1951, 9 (03) :225-236
[6]   APPLICATION OF GALERKIN METHOD TO SOLUTION OF BURGERS EQUATION [J].
DAVIES, AM .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1978, 14 (03) :305-321
[7]  
GARDNER LRT, 1991, P AS PAC C COMP MECH
[8]   THE PARTIAL DIFFERENTIAL EQUATION UT+UUX=MU-XX [J].
HOPF, E .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1950, 3 (03) :201-230
[9]   NUMERICAL TECHNIQUE FOR SOLVING CONVECTIVE-REACTION-DIFFUSION EQUATION [J].
JAIN, PC ;
SHANKAR, R ;
SINGH, TV .
MATHEMATICAL AND COMPUTER MODELLING, 1995, 22 (09) :113-125
[10]   NUMERICAL-SOLUTIONS OF COUPLED BURGERS EQUATION [J].
JAIN, PC ;
HOLLA, DN .
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 1978, 13 (04) :213-222
12