Asymptotic solution for a kind of boundary layer problem

Nonlinear Dynamics

Volumn 45, Issue 1-2, 2006, Pages 15-24

  Qian, C Z ^a   Tang, J S ^a  

^a HUNAN UNIVERSITY   (China)

Author keywords

Asymptotic solution; Boundary layer problem; Burgers equation; Perturbation method

Indexed keywords

NONLINEAR EQUATIONS; NUMERICAL METHODS; PERTURBATION TECHNIQUES; PROBLEM SOLVING;

ASYMPTOTIC SOLUTIONS; BOUNDARY LAYER PROBLEMS; BURGERS EQUATIONS; NUMERICAL COMPUTATION;

BOUNDARY LAYERS;

EID: 33745901933     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11071-005-1067-1     Document Type: Article

References (11)

1. Burger, J. M., 'A mathematical model illustrating the theory of turbulence', in Advances in Applied Mechanics, Vol. I, Academic Press, New York, 1948.
2. xx'. Communications of Pure and Applied Mathematics 3, 1950, 201-230.
3. Cole, J. D., 'On a quasi-linear parabolic equations occurring in aerodynamics', Quarterly of Applied Mathematics 9, 1951, 225-236.
4. Wan De-cheng, W., and Guo-Wei, W., 'The study of quasi wavelets based numerical method applied to Burgers equation', Applied Mathematics and Mechanics 21(12), 2000, 1099-1110.
5. Gandarias, M. L. 'Nonclassical potential symmetries of the Burgers Equation', Symmetry in Nonlinear Mathematical Physics 1, 1997, 130-137.
6. Burns, J., Balogh, A., Gilliam, D. S., and Shubov, V. I., 'Numerical stationary solutions for a viscous Burgers Equation', Journal of Mathematical Systems, Estimation, Control 8(2) 1998, 1-16.
7. Derickson, R. G. and Pielke, R. A., Sr., 'A preliminary study of the Burgers Equation with symbolic computation', Journal of Computational Physics 162, 2000, 219-244.
8. Nayfeh, A. H., Perturbation Methods, Wiley, New York, 1973.
9. Nayfeh, A. H. and Mook, D. T., Nonlinear Oscillations, Wiley, New York, 1978.
10. Cheung, Y. K., Chen, S. H. and Lau, S. L., 'A modified Lindstedt-Poincare method for certain strongly nonlinear oscillators', International Journal of Non-Linear Mechanics 26(4), 1991, 125-128.
11. Tang, J. S., 'A method for parameter identification of strongly non-linear systems', Journal of Sound and Vibration 232(5), 2000, 993-996.