On the numerical solution of the diffusion equation subject to the specification of mass

Journal of the Australian Mathematical Society Series B-Applied Mathematics

Volumn 40, Issue 4, 1999, Pages 475-483

  Gumel, A B ^a  

^a University Telekom   (Malaysia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001332164     PISSN: 03342700     EISSN: None     Source Type: Journal    
DOI: 10.1017/s0334270000010560     Document Type: Article

References (11)

1. J. R. Cannon and J. van der Hoek, "The existence of and a continuous dependence result for the solution of the heat equation subject to the specification of energy", Suppl. Bolletino Unione Mat. Ital. 1 (1981) 253-282.
2. J. R. Cannon, S. P. Esteva and J. van der Hoek, "A Galerkin procedure for the diffusion equation subject to the specification of mass", SIAM J. Numer. Anal. 24 (1987) 499-515.
3. J. R. Cannon, Yanping Lin and Shingmin Wang, "An implicit finite difference scheme for the diffusion equation subject to mass specification", Int. J. Engng. Sci. 28 (7) (1990) 573-578.
4. A. B. Gumel, "Parallel and sequential algorithms for parabolic equations with applications", (PhD Thesis, Brunel University, 1993).
5. 0-stable methods for multi-dimensional heat equation", Parallel Algorithms and Applications 11 (1997) 13-25.
6. J. D. Lambert, Numerical methods for ordinary differential systems: The initial-value problem (John Wiley and Sons, Chichester, 1991).
7. J. D. Lawson, "Some numerical methods for stiff ordinary and partial differential equations", Second Manitoba Conf. on Numerical Mathematics, Winnipeg, Canada (1972) 27-34.
8. M. H. Padé, "Sur la répresentation approcheé d'une fonction par des fractions rationelles", Ann. de l'Ecole Normale Supérieure 9 (suppl) (1982).
9. D. A. Swayne, "Time-dependent boundary and interior forcing in locally one-dimensional schemes", SIAM J. Sci. Stat. Comput. 8 (1987) 755-767.
10. E. H. Twizell, Numerical methods, with applications in the biomedical sciences (Ellis Horwood, Chichester, and John Wiley, New York, 1988).
11. E. H. Twizell, A. Q. M. Khaliq and D. A. Voss, "Sequential and parallel algorithms for second-order initial-value problems", WSSIA A 2 (1993) 399-412.