Uniform finite difference schemes for singular perturbation problems arising in gas porous electrodes theory

Indian Journal of Pure and Applied Mathematics

Volumn 27, Issue 9, 1996, Pages 893-905

  Selvakumar, K ^a   Ramanujam, N ^b  

^a Indian Engineering College   (India)

^b BHARATHIDASAN UNIVERSITY   (India)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030356174     PISSN: 00195588     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (19)

1. I. P. Boglaev, U.S.S.R. Comput. Math. & Math. Phys. 21 (1981), 71-81.
2. E. P. Doolan, J. J. H. Miller and W. H. A. Shilders, Uniform Numerical Methods for Problems with Initial and Boundary Layers, Boole Press, Dublin, 1980.
3. P. P. N. De Groen, J. Comput. Appl. Math. 7 (1981), 3-15.
4. A. F. Hegarty, J. J. H. Miller and E. O. Riordan, in : Boundary and Interior Layers - Computational and Asymptotic Methods (ed. : J. J. H. Miller), Boole Press, Dublin, 1980, pp. 301-305.
5. P. W. Hemker, A Numerical Study of Stiff Two-Point Boundary Value Problems, Mathematical Centre Tracts, No. 80, Amsterdam, 1977.
6. J. J. Miller, in : Numerical Analysis of Singular Perturbation Problems (eds. : P. W. Hemker and J. J. Miller), Academic Press, New York, 1979, pp. 467-74.
7. J. J. H. Miller, Lecture notes on Numerical Solutions of Singularly Perturbed Differential Equations, No. 1, 1994, Trinity College, Dublin.
8. K. Nijima, Mem. Numer. Math. 7 (1980), 1-10.
9. M. J. O'Reilly, On Uniformly Convergent Finite Difference Methods for Non-linear Singular Perturbation Problems, Ph. D. thesis, Trinity College, Dublin, 1983.
10. E. O'Riordan, Finite Element Methods for Singularly Perturbed Problems, Ph.D. thesis, School of Mathematics, Trinity College, Dublin 1982.
11. E. O'Riordan and M. Stynes, Math. Comput. 47 (1986), 555-70.
12. M. H. Protter and H. F. Weinberger, Maximum Principles in Differential Equations, Prentice-Hall, Englewood Cliffs, N. J., 1967.
13. K. Selvakumar, Uniformly Convergent Difference Schemes for Differential Equations with a Parameter, Ph. D. thesis, Bharathidasan University, India, 1992.
14. K. Selvakumar, Numerical Methods Engg. 10 (1994), 611-22.
15. K. Selvakumar, Appl. Math. Computation, 68 (1995), 27-40.
16. A. H. Schatz and L. B. Wahlbin, Math. Comp. 40 (1983), 47-89.
17. G. I. Shiskin, U. S. S. R. Comput. Math. & Math. Phys. 23 (1983), 59-66.
18. M. Stynes and E. O'Riordan, Bail III - Proc. Third International Conference on Boundary and Interior Layers (ed. : J. J. H. Miller), Boole Press, Dublin, 1984, pp. 309-13.
19. R. S. Varga, Matrix Iterative Analysis, Prentice-Hall, Englewood Cliffs, N. J. 1962.