Soliton and numerical solutions of the Burgers' equation and comparing them

International Journal of Mathematical Analysis

Volumn 4, Issue 49-52, 2010, Pages 2547-2564

  Hesameddini, Esmaeel ^a   Gholampour, Razieh ^a  

^a SHIRAZ UNIVERSITY OF TECHNOLOGY   (Iran)

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[No Author keywords available]

Indexed keywords

EID: 79551660746     PISSN: 13128876     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (12)

1. U. M. Ascher, R. I. Mclachlan, Multisymplectic box schemes and the Korteweg-de Vries equation. Numer. Algor. Appl. Numer. Algor. 48, (2004), pp. 255-269.
2. U. M. Ascher, R. I. Mclachlan, On symplectic and multisymplectic schems for the KdV equation. J. Sci. Comput. (2005), pp. 83-104.
3. R. Conte, M. Musette, Link between solitary waves and projective Riccati equations. J. Phys. A: Math. Gen. 25. (1992), pp.5609-5623.
4. Haim Brezis, Felix Browder, Partial differential equations in the 20th century. Adv. Math. 135 (1998), 76-144. Article No. AI971713.
5. Jean pierre croisille, Jean pierre croisille, Finite Volume box schemes, ESAIM: Math. Model. Anal. 34(2000)1087-1106.
6. H. B. Keller, A New Different scheme for parabolic problems, in: B. Hubbard (Ed.), Numerical solutions of partial Differential Equations, II, Academic press, New York, 1971, pp. 327-350.
7. Ninghu Su, Jim P.C. Watt, Keith W. Vincent, Murray E. Close, Renzhao Mao, Analysis of turbulent flow patterns of soil water under field conditions using Burgers'equation and porous suction-cup samplers. Aust. J. soil Res. (42). (1). (2004), pp. 9-16.
8. A. Tabatabaei, E. shakour, M. Dehghan, Som implicit methods for the numerical solution of Burgers'equation. Applied mathematics and computational. (2007), pp. 560-570.
9. P. F. Zhao, M.Z. Qin, Multisymplectic geometry and multisymplectic preissmann schems for the KdV equation. J. Phys. A. (33). (2000), pp. 3613-3626.
10. L.Debtanth, Nonlinear partial Differential Equations for scientist and Engineers, Birkhauser, Boston, 1997.
11. J. M. Burger, A mathematical model illustrating the theory of turbulence, Adv. Appl. Mech. I (1948) 171-199.
12. J. D. Logan, An introduction to Nonlinear Partial Differential Equations, Wiley-Interscience, New York, 1994.