Higher order finite difference method for a class of singular boundary value problems

Applied Mathematics and Computation

Volumn 155, Issue 1, 2004, Pages 249-258

  Kanth, A S V Ravi ^a   Reddy, Y N ^a  

^a NATIONAL INSTITUTE OF TECHNOLOGY   (India)

Author keywords

Boundary value problem; Finite differences; Ordinary differential equations; Singular point

Indexed keywords

APPROXIMATION THEORY; BOUNDARY VALUE PROBLEMS; ELECTROHYDRODYNAMICS; ORDINARY DIFFERENTIAL EQUATIONS; PROBLEM SOLVING;

FINITE DIFFERENCES; SINGULAR POINT; STABILIZING EFFECTS; THERMAL EXPLOSIONS;

FINITE DIFFERENCE METHOD;

EID: 3142537247     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(03)00774-4     Document Type: Article

References (7)

1. Ascher U., Mattheij R.M.M., Russell R.D. Numerical Solution of Boundary Value Problems for Ordinary Differential Equations. 1998;Prentice-Hall, Englewood Cliffs, NJ.
2. Chawal M.M., Katti C.P. A finite difference method for a class of singular two point boundary value problems. IMA. J. Numer. Anal. 4:1984;457-466.
3. Erikson K., Thomee V. Galerkin methods for singular boundary value problems in one space dimension. Math. Comput. 42(166):1984;345-367.
4. Iyengar S.R.K., Jain P.C. Spline finite difference methods for singular two point boundary value problems. Numer. Math. 50:1987;363-376.
5. Jamet P. On the convergence of finite difference approximations to one-dimensional singular boundary value problems. Numer. Math. 14:1970;355-378.
6. Choo J.Y., Schultz D.H. Stable higher order methods for differential equations with small coefficients for the second order terms. Comput. Math. Appl. 25(1):1993;105-123.
7. Russell R.D., Shampine L.F. Numerical method for singular boundary value problems. SIAM. J. Numer. Anal. 12(1):1975;13-36.