DIFFERENTIAL TRANSFORM METHOD FOR SOLVING A CLASS OF SINGULAR TWO-POINT BOUNDARY VALUE PROBLEMS
Abstract
This paper applies the differential transform method to search for semi numerical-analytical solutions of a class of singular two-point boundary value problems. To make clear and illustrate the features and capabilities of the presented method, four examples are carried out. The results demonstrate the computational efficiency and reliability of the method.
Keywords
References
- AGARWAL RP, 1986. Boundary Value Problems for High Order Differential Equations, World Scientific, Singapore.
- ASCHER U, MATTHEIJ RMM, RUSSELL RD, 1998. Numerical Solution of Boundary Value Problems for Ordinary Differential Equations, Prentice-Hall, Englewood Cliffs, NJ.
- CHAWLA MM, KATTI CP, 1984. A finite difference method for a class of singular two point boundary value problems, IMA Journal of Numerical Analysis, 4 , 457-466.
- ÇAĞLAR N, ÇAĞLAR H, 2006. B-spline solution of singular boundary value problems, Applied Mathematics & Computation, in press.
- ERIKSON K, THOMEE V, 1984. Galerkin methods for singular boundary value problems in one space dimension, Mathematics of Computation, 42 , 345-367.
- GUSTAFSSON B, 1973. A numerical method for solving singular boundary value problems, Numerische Mathematik, 21, 328-344.
- IYENGAR SRK, JAIN PC, 1987. Spline finite difference methods for singular two point boundary value problems, Numerische Mathematik, 50, 363-376.
- JAMET P, 1970. On the convergence of finite difference approximations to one dimensional singular boundary value problems, Numerische Mathematik, 14, 355-378.
Details
Primary Language
English
Subjects
Mathematical Sciences
Journal Section
Research Article
Authors
Publication Date
June 1, 2006
Submission Date
February 23, 2009
Acceptance Date
-
Published in Issue
Year 2006 Volume: 1 Number: 1