Three point discretization of order four and six for (du/dx) of the solution of non-linear singular two point boundary value problem

International Journal of Computer Mathematics

Volumn 78, Issue 1, 2001, Pages 123-139

  Mohanty, R K ^a   Evans, D J ^b   Dey, Shivani ^a  

^a UNIVERSITY OF DELHI   (India)

^b NOTTINGHAM TRENT UNIVERSITY   (United Kingdom)

Author keywords

Burger's equation; Finite difference methods; First order derivative; Local truncation error; Non linear equation; RMS errors; Singular equation

Indexed keywords

BURGER'S EQUATIONS; FIRST ORDER DERIVATIVES; LOCAL TRUNCATION ERRORS; RMS ERRORS; SINGULAR EQUATIONS;

FINITE DIFFERENCE METHOD; MATHEMATICAL TECHNIQUES;

COMPUTER SCIENCE;

EID: 19644378773     PISSN: 00207160     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (15)

1. Chawla, M. M. (1978). A fourth order tri-diagonal finite difference method for general non-linear two point boundary value problems with mixed boundary conditions, J. Inst. Maths. Applies., 21, 83-93.
2. Chawla, M. M. (1979). A Sixth Order tri-diagonal finite difference method for general non-linear two point boundary value problems. J. Inst. Math. Applies., 24, 35-42.
3. Chawla, M. M. and Katti, C. P. (1984). A finite difference method for a class of singular two point boundary value problem, IMA. J., Num. Anal., 4, 457-466.
4. 2 method for a singular two-point boundary value problem, BIT, 26, 318-326.
5. Chawla, M. M. and Subramanian, R. (1988). A new spline method for singular two point boundary value problem, Int. J. Computer Math., 24, 291-310.
6. Chawla, M. M., Subramanian, R. and Sathi, H. L. (1988). A fourth order method for a singular two point boundary value problem, BIT, 28, 88-97.
7. Chawla, M. M., Jain, M. K. and Subramanian, R. (1990). On the numerical integration of a singular two point boundary value problem, Int. J. Computer Math., 31, 187-194.
8. Jain, M. K., Iyengar, S. R. K. and Subramanyam, G. S. (1984). Variable mesh methods for the numerical solution of two point singular perturbation problems. Comp. Meth. Appl. Mech. Engg., 42, 273-286.
9. Gustafsson, B. (1973). A numerical method for solving singular boundary value problems, Numer. Math., 21, 328-344.
10. Iyengar, S. R. K. and Jain Pragya (1987). Spline finite difference methods for singular two point boundary value problems, Numer. Math., 50, 363-376.
11. Jain, R. K. and Jain Pragya (1989). Finite difference methods for a class of singular two-point boundary Value problems, Int. J. Computer Math., 27, 113-120.
12. Russel, R. D. and Shampine, L. F. (1975). Numerical methods for singular boundary value problems, SIAM. J. Numer. Anal., 12, 13-35.
13. 4) finite difference method for one space Burger's equation in Polar co-ordinates, Numer. Meth. Partial Diff. Eq., 12, 579-583.
14. Stephenson, J. W. (1984). Single cell discretization of order two and four for biharmonic problems, J. Comput. Phys., 55, 65-80.
15. Mohanty, R. K. (2000). A fourth-order finite difference method for the general one-dimensional non-linear biharmonic problems of first kind, J. Comp. Appl. Math., 114, 275-290.