Variational iteration method for solving Burger's and coupled Burger's equations

被引:398
作者
Abdou, MA
Soliman, AA [1 ]
机构
[1] Suez Canal Univ, Fac Educ Al Arish, Dept Math, Al Arish 45111, Egypt
[2] Univ Mansoura, Fac Sci, Dept Phys, Theoret Res Grp, Mansoura, Egypt
关键词
Burger's equations; bariational iteration method; nonlinear partial; differential equations; Lagrange multiplier;
D O I
10.1016/j.cam.2004.11.032
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
By means of variational iteration method the solutions of Burger's equation and coupled Burger's equations are exactly obtained, comparison with the Adomian decomposition method is made, showing that the former is more effective than the later. In this paper, He's variational iteration method is introduced to overcome the difficulty arising in calculating Adomian polynomials. (c) 2004 Elsevier B.V. All rights reserved.
引用
收藏
页码:245 / 251
页数:7
相关论文
共 43 条
[1]  
Ablowitz M.J., 1991, SOLITONS NONLINEAR E
[2]   STOCHASTIC BURGERS-EQUATION [J].
ADOMIAN, G .
MATHEMATICAL AND COMPUTER MODELLING, 1995, 22 (08) :103-105
[3]   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
[4]  
[Anonymous], 1997, Comm. Nonlinear Sci. Numer. Simul.
[5]  
Burgers J., 1948, Adv. Appl. Mech., DOI 10.1016/S0065-2156(08)70100-5
[6]   A FINITE-ELEMENT APPROACH TO BURGERS-EQUATION [J].
CALDWELL, J ;
WANLESS, P ;
COOK, AE .
APPLIED MATHEMATICAL MODELLING, 1981, 5 (03) :189-193
[7]  
Caldwell J., 1987, Numer. Methods Nonlinear Probl, V3, P253
[8]  
Coely A., 2001, BACKLUND DARBOUX TRA
[9]   ON A QUASI-LINEAR PARABOLIC EQUATION OCCURRING IN AERODYNAMICS [J].
COLE, JD .
QUARTERLY OF APPLIED MATHEMATICS, 1951, 9 (03) :225-236
[10]  
Draganescu GE, 2003, INT J NONLIN SCI NUM, V4, P219, DOI 10.1515/IJNSNS.2003.4.3.219