A lumped Galerkin method for the numerical solution of the modified equal-width wave equation using quadratic B-splines

International Journal of Computer Mathematics

Volumn 83, Issue 5-6, 2006, Pages 449-459

  Esen, A ^a  

^a INONU UNIVERSITY   (Turkey)

Author keywords

Lumped Galerkin method; MEW equation; Solitary waves; Splines

Indexed keywords

ASYMPTOTIC STABILITY; FINITE ELEMENT METHOD; GALERKIN METHODS; LINEAR SYSTEMS; NUMERICAL ANALYSIS; PROBLEM SOLVING; SPLINES;

LINEAR STABILITY; LUMPED GALERKIN METHOD; SOLITARY WAVES;

WAVE EQUATIONS;

EID: 33751501747     PISSN: 00207160     EISSN: 10290265     Source Type: Journal    
DOI: 10.1080/00207160600909918     Document Type: Article

References (8)

1. Morrison, P.J., Meiss, J.D. and Carey, J.R., 1984, Scattering of RLW solitary waves. Physica D, 11, 324-336.
2. Zaki, S.I., 2000, Solitary wave interactions for the modified equal width wave equation. Computer Physics Communications, 126, 219-231.
3. Hamdi, S., Enright W.H., Schiesser W.E. and Gottlieb J.J., 2003, Exact solutions of the generalized equal width wave equation. In Proceedings of the International Conference on Computational Science and its Applications, LNCS 2668, pp. 725-734 (Berlin: Springer-Verlag).
4. Evans, D.J. and Raslan, K.R., 2005, Solitary waves for the generalized equal width (GEW) equation. International Journal of Computer Mathematics, 82 445-455.
5. Wazwaz, A.M., 2006, The tanh and sine-cosine methods for a reliable treatment of the modified equal width equation and its invariants. Communications in Nonlinear Science and Numerical Simulation, 11, 148-160.
6. Prenter, P.M., 1975, Splines and Variational Methods (New York: John Wiley).
7. Smith, G.D., 1987, Numerical Solution of Partial Differential Equations: Finite Difference Methods (Oxford: Clarendon Press).
8. Daǧ, İ., Saka, B. and Irk, D., 2006, Galerkin method for the numerical solution of the RLW equation using quintic B-splines. Journal of Compututional and Applied Mathematics, 190, 532-547.