An application for a modified KdV equation by the decomposition method and finite element method

Applied Mathematics and Computation

Volumn 169, Issue 2, 2005, Pages 971-981

  Geyikli, Turabi ^a   Kaya, Doǧan ^b  

^a INONU UNIVERSITY   (Turkey)

^b FIRAT UNIVERSITY   (Turkey)

Author keywords

Galerkin method; Korteweg de Vries equation; Soliton solution; Splines finite element method; The decomposition method

Indexed keywords

PROBLEM SOLVING; RELIABILITY; SOLITONS; STABILITY;

GALERKIN METHOD; KORTEWEG-DE VRIES (MKDV) EQUATION; SOLITON SOLUTION; SPLINES FINITE ELEMENT METHOD; THE DECOMPOSITION METHOD;

FINITE ELEMENT METHOD;

EID: 25844433115     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2004.11.017     Document Type: Article

References (31)

1. P.G. Drazin, and R.S. Johnson Solutions: An Introduction 1989 Cambridge University Press Cambridge
2. G.B. Whitham Linear and Nonlinear Waves 1974 John Wiley and Sons
3. R.B. Guenther, and J.W. Lee Partial Differential Equations of Mathematical Physics and Integral Equations 1988 Dover Publications New York
4. N.J. Zabusky W. Ames Proceeding of the Symposium of non-linear Partial Differential Equations 1967 Academic Press 223 258
5. D. Kaya Int. J. Comput. Math. 72 1999 531
6. D. Kaya, and M. Aassila Phys. Lett. A 299 2002 201 206
7. G. Adomian Solving Frontier Problems of Physics: The Decomposition Method 1994 Kluwer Academic Publishers Boston
8. G. Adomian J. Math. Anal. Appl. 135 1988 501
9. D.J. Korteweg, and G. de Vries Philos. Mag. 39 1895 422
10. M.C. Shen SIAM J. Appl. Math. 17 1969 260
11. C.S. Gardner J. Math. Phys. 12 1971 1548
12. C.S. Gardner, J.M. Greene, M.D. Kruskal, and R.M. Miura Commun. Pure Appl. Math. XXVII 1974 97
13. P. Saucez, A.V. Wouwer, and W.E. Schiesser Comput. Math. Appl. 35 1998 13
14. B. Fornberg, and G.B. Whitham Philos. Trans. R. Soc. 289 1978 373
15. A. Jeffrey, and T. Kakutani SIAM Rev. 14 1972 582 643
16. T.R. Taha, and M.J. Ablowitz J. Comput. Phys. 77 1988 540 548
17. G.A. Gardner, A.H.A. Ali, and L.R.T. Gardner Solutions for the modified Korteweg-de Vries equation G.N. Pande J. Middleton Numerical Methods in Engineering vol. 1 1990 Elsevier Applied Science London 590 597
18. G.A. Gardner, L.R.T. Gardner, and A.H.A. Ali Comput. Methods Appl. Mech. Eng. 1992
19. L.R.T. Gardner, G.A. Gardner, and T. Geyikli Advances in Modelling & Analysis, A vol. 18 1994 AM SE Press p. 31
20. L.R.T. Gardner, G.A. Gardner, and T. Geyikli Comput. Methods Appl. Mech. Eng. 124 1995 321
21. L.R.T. Gardner, G.A. Gardner, T. Geyikli, U.C.N.W.Maths Preprint 91.28, (1991).
22. A.M. Wazwaz Appl. Math. Comput. 102 1999 77
23. D. Kaya, and S.M. El-Sayed Phys. Lett. A 313 2003 82
24. D. Kaya Appl. Math. Comput. 147 2004 69
25. D. Kaya, and I.E. Inan Appl. Math. Comput. 151 2004 775
26. D. Kaya, and A. Yokus Math. Comput. Simul. 60 2002 507
27. D. Kaya, and S.M. El-Sayed Chaos, Solitons & Fractals 17 2003 869
28. D. Kaya Appl. Math. Comput. 143 2003 309
29. D. Kaya, and S.M. El-Sayed Phys. Lett. A 310 2003 44
30. D. Kaya Appl. Math. Comput. 152 2004 253
31. D. Kaya Appl. Math. Comput. 152 2004 709