Numerical Solution of Singularly Perturbed Two-Point Singular Boundary Value Problems Using Differential Quadrature Method

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. Numerical Solution of Singularly Perturbed Two-Point Singular Boundary Value Problems Using Differential Quadrature Method. American Journal of Numerical Analysis. 2014; 2(6):177-183. doi: 10.12691/ajna-2-6-2

Abstract

This paper presents the application of Differential Quadrature Method (DQM) for finding the numerical solution of singularly perturbed two point singular boundary value problems. The DQM is an efficient discretization technique in solving initial and/or boundary value problems accurately using a considerably small number of grid points. This method is based on the approximation of the derivatives of the unknown functions involved in the differential equations at the mess point of the solution domain. To demonstrate the applicability of the method, we have solved model example problems and presented the computational results. The computed results have been compared with the exact solution to show the accuracy and efficiency of the method.

Keywords:
singular boundary value problem singularly perturbations singular point boundary layer differential quadrature method

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