A Fifth Order Compact Difference Method for Singularly Perturbed Singular Boundary Value Problems

H.S. Prasad¹ and Y.N. Reddy^2,

¹Department of Mathematics, National Institute of Technology, Jamshedpur, INDIA

²Department Mathematics, National Institute of Technology, Warangal, INDIA

Cite this paper

H.S. Prasad and 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

Abstract

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.

Keywords

singular boundary value problem, singularly perturbations, singular point, boundary layer, finite differences

Copyright

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