The Lie-group shooting method for steady-state burgers equation with high Reynolds number* * Project supported by the National Science Council (Grant No: NSC 94-2212-E-019-005).

Journal of Hydrodynamics

Volumn 18, Issue 3 SUPPL., 2006, Pages 367-372

  LIU, Chein Shan ^a   CHANG, Jiang Ren ^a   CHANG, Chih Wen ^a  

^a NATIONAL TAIWAN OCEAN UNIVERSITY   (Taiwan)

Author keywords

burgers equation; lie group shooting method; one step group preserving scheme; singularly perturbed boundary value problem

Indexed keywords

BOUNDARY VALUE PROBLEMS; NUMERICAL METHODS; PERTURBATION TECHNIQUES; PROBLEM SOLVING; REYNOLDS NUMBER;

BURGERS EQUATION; COORDINATE TRANSFORMATION; LIE-GROUP SHOOTING METHOD; SINGULARLY PERTURBED BOUNDARY VALUE PROBLEM;

STEADY FLOW;

EID: 34247192435     PISSN: 10016058     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1001-6058(06)60080-2     Document Type: Article

References (4)

1. KADALBAJOO M.K., and PATIDAR K.C. A survey of numerical techniques for solving singularly perturbed ordinary differential equations [J]. Applied Mathematics and Computation 130 (2002) 457-510
2. LIU C.-S. Cone of non-linear dynamical system and group preserving schemes [J]. International Journal of Non-Linear Mechanics 36 (2001) 1047-1068
3. LIU C.-S. Nonstandard group-preserving schemes for very stiff ordinary differential equations [J]. CMES: Computer Modeling in Engineering & Sciences 9 (2005) 255-272
4. O'MALLEY R.E. Singular Perturbation Methods for Ordinary Differential Equations [M] (1991), Springer-Verlag, New York