1Department of Mathematics, National Institute of Technology, Jamshedpur, INDIA
2Department Mathematics, National Institute of Technology, Warangal, INDIA
American Journal of Applied Mathematics and Statistics.
2015,
Vol. 3 No. 2, 49-53
DOI: 10.12691/ajams-3-2-1
Copyright © 2015 Science and Education PublishingCite this paper: H.S. Prasad, Y.N. Reddy. A Fifth Order Compact Difference Method for Singularly Perturbed Singular Boundary Value Problems.
American Journal of Applied Mathematics and Statistics. 2015; 3(2):49-53. doi: 10.12691/ajams-3-2-1.
Correspondence to: Y.N. Reddy, Department Mathematics, National Institute of Technology, Warangal, INDIA. Email:
ynreddy_nitw@yahoo.comAbstract
In this paper, we have developed a fifth order compact difference method for a class of singularly perturbed singular two-point boundary value problems. To avoid the singularity at zero a terminal boundary condition in the implicit form is derived. Using this condition as one of the boundary condition we solve the singularly perturbed singular two-point boundary value problem by the fifth order compact difference scheme. Numerical results are presented to illustrate the proposed method and compared with exact solution.
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