Compacton numerically-induced radiation in a fourth-order finite element method

WSEAS Transactions on Mathematics

Volumn 5, Issue 1, 2006, Pages 89-96

  Garralón, Julio ^a   Rus, Francisco ^a   Villatoro, Francisco R ^a  

^a UNIVERSITY OF MÁLAGA   (Spain)

Author keywords

Compactons; Finite element methods; Numerical radiation; Self similarity

Indexed keywords

COMPUTER SIMULATION; GALERKIN METHODS; INTEGRATION; ORDINARY DIFFERENTIAL EQUATIONS;

COMPACTONS; NUMERICAL RADIATION; SELF-SIMILARITY;

FINITE ELEMENT METHOD;

EID: 29944437220     PISSN: 11092769     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (12)

1. P. Rosenau and J. M. Hyman, Compactons: Solitons with finite wavelength, Physical Review Letters, Vol. 70, No. 5, 1993, pp. 564-567.
2. J. de Frutos, M. A. López-Marcos and J. M. Sanz-Serna, A finite difference scheme for the K(2,2) compacton equation, Journal of Computational Physics, Vol. 120, No. 2, 1995, pp. 248-252.
3. P. Rosenau, Compact and noncompact dispersive patterns, Physics Letters A, Vol. 275, No. 3, 2000, pp. 193-203.
4. P. Saucez, A. Vande Wouwer, W. E. Schiesser and P. Zegeling, Method of lines study of nonlinear dispersive waves, Journal of Computational and Applied Mathematics, Vol. 168, 2004, pp. 413-423.
5. A. Chertock and D. Levy, Particle methods for dispersive equations, Journal of Computational Physics, Vol. 171, 2001, pp. 708-730.
6. F. Cooper, J. M. Hyman and A. Khare, Compacton solutions in a class of generalized fifth-order Korteweg-de Vries equations, Physical Review E, Vol. 64, No. 2, 2001, Art. No. 026608.
7. F. Rus and F. R. Villatoro, Padé numerical method for the Rosenau-Hyman compacton equation, in Modelling 2005, Third IMA CS Conference on Mathematical Modelling and Computational Methods in Applied Sciences and Engineering, Pilsen, Czech Republic, July 4-8, 2005.
8. D. Levy, C.-W. Shu, J. Yan, Local discontinuous Galerkin methods for nonlinear dispersive equations, Journal of Computational Physics, Vol. 196, 2004, pp. 751-772.
9. M. S. Ismail, T. R. Taha, A numerical study of compactons, Mathematics and Computers in Simulation, Vol. 47, 1998, pp. 519-530.
10. J. M. Sanz-Serna and I. Christie, Petrov-Galerkin methods for nonlinear dispersive waves, Journal of Computational Physics, Vol. 39, No. 1, 1981, pp. 94-102.
11. P. Rosenau, On a class of nonlinear dispersive-dissipative interactions, Physica D, Vol. 123, No. 1-4, 1998, pp. 525-546.
12. A. M. Wazwaz, Exact special solutions with solitary patterns for the nonlinear dispersive K(m, n) equations, Chaos, Solitons and Fractals, Vol. 13, No. 1, 2002, pp. 161-170.