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

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