A finite element method for the Sivashinsky equation

Indian Journal of Pure and Applied Mathematics

Volumn 32, Issue 3, 2001, Pages 397-411

  Omrani, Khaled ^a  

^a FACULTÉ DES SCIENCES DE TUNIS   (Tunisia)

Author keywords

Backward Euler method; Commonly discrete; Cranck Nicolson scheme; Error estimate; Finite element; Semidiscrete; Sivashinsky equation

Indexed keywords

EID: 0035633446     PISSN: 00195588     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (9)

1. V. G. Gertsberg and G. I. Sivashinsky, Prog, theor. Phys. 66 (1981) 1219.
2. P. Grisvard, Elliptic Problems in Nonsmooth Domains, Advanced Publications program, Pitman, Boston, (1985).
3. H. S. price and R. S. Varga, Numerical Solution of Field Problems in Continuum Physics AMS, Providence, R.I., 74-94, 1970.
4. H. H. Rachford, Jr., SIAM J. numer. Anal. 10 (1973) 1010-26.
5. G. I. Sivashinsky, Physica 8D (1983) 243-48, North-Holland Publishing Company.
6. K. Omrani, A finite difference scheme for the Sivashinsky equation, (to appear).
7. K. Omrani, Approximation des equations de Sivashinsky et application des ondelettes; Thèse de Doctorat, Facult. Sci. Tunis (to appear).
8. V. Thomée, In: Matematical Aspects of Finite Element Methods in Partial Differnetial Equasion (Ed: C. de Boor) Academic Press, p 55-84, 1974.
9. V. Thomée and L. B. Wahlbin, J. numer. Ana. 12 (1975) 378-89.