A numerical Solution of the Burgers Equation Using Quintic B-Splines

被引：0

作者：

Sepehrian, Behnam ^{[1
]}

Lashani, Mahmood ^{[1
]}

机构：

[1] Arak Univ, Dept Math, Arak, Iran

来源：

WORLD CONGRESS ON ENGINEERING 2008, VOL III | 2008年

关键词：

Collocation; B-Spline;

D O I：

暂无

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

In this paper, numerical solutions of the nonlinear Burgers_ equation are obtained by a method based on collocation of quintic B-splines over finite elements. Applying the Von-Neumann stability analysis, the proposed method is shown to be unconditionally stable. The accuracy of the presented method is demonstrated by one test problem. The numerical results are found to be in good agreement with the exact solutions.

引用

页码：1720 / 1723

页数：4

共 9 条

[1] Bateman H., 1915, Mon. Weather Rev., V43, P163
[2] Burgers J. M., 1948, Adv. Appl. Mech., P171, DOI 10.1016/S0065-2156(08)70100-5
[3] DAG I, APPL MATH C IN PRESS
[4] Danaf T.E., 1998, THESIS MENOUFIA U
[5] ELDANAF TS, 2002, STUD U BABES BOLYAI, V47, P41
[6] GANDARIAS ML, 1997, SYMMETRY NONLINEAR M, V1, P130
[7] Harris S.L., 1996, EJAM, V6, P75
[8] On global stabilization of Burgers' equation by boundary control
Krstic, M
[J]. SYSTEMS & CONTROL LETTERS, 1999, 37 (03) : 123 - 141
[9] Distributed and boundary control of the viscous Burgers' equation
Ly, HV
Mease, KD
Titi, ES
[J]. NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 1997, 18 (1-2) : 143 - 188

← 1 →