Numerical solution of Burgers' equation with restrictive Taylor approximation

Applied Mathematics and Computation

Volumn 171, Issue 2, 2005, Pages 1192-1200

  Gülsu, Mustafa ^a   Öziş, Turgut ^b  

^a MUGLA SITKI KOCMAN UNIVERSITY   (Turkey)

^b EGE UNIVERSITY   (Turkey)

Author keywords

Approximations of the functions; Burgers' equation; Finite difference

Indexed keywords

BOUNDARY CONDITIONS; DIFFERENTIAL EQUATIONS; ERROR ANALYSIS; FINITE DIFFERENCE METHOD; NUMERICAL ANALYSIS;

APPROXIMATIONS OF THE FUNCTIONS; BURGER'S EQUATION;

APPROXIMATION THEORY;

EID: 31144454024     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2005.01.106     Document Type: Article

References (5)

1. H.N.A. Ismail, and E.M.E. Elbarbary Restrictive Taylor's approximation and parabolic partial differential equations Int. J. Comput. Math. 78 2001 73 82
2. H.N.A. Ismail, E.M.E. Elbarbary, and Adel Y.H. Younes Highly accurate method for solving initial boundary value problem for first order hyperbolic differential equations Int. J. Comput. Math. 77 2001 251 261
3. T. Öziş, E.N. Aksan, and A. Özdeş A finite element approach for solution of Burgers' equation Appl. Math. Comput. 139 2003 417 428
4. W.F. Ames Numerical Methods for Partial Differential Equations 1992 Academic Press New York
5. G.D. Smith Numerical Solution of Partial Differential Equations 1989 Clarendon Press Oxford