International Journal of Applied Science and Engineering
Published by Chaoyang University of Technology

Hari Shankar Prasad * and Yanala Narsimha Reddy

Department of Mathematics, National Institute of Technology, Warangal, A.P, India.


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ABSTRACT


This paper presents the application of Differential Quadrature Method (DQM) for finding the numerical solution of singularly perturbed two point boundary value problems with mixed condition. 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. It is an efficient discretization technique in solving initial and/or boundary value problems accurately using a considerably small number of grid points. To demonstrate the applicability of the method, we have solved several model examples and presented the computational results. The computed results have been compared with the exact/approximate solution to show the accuracy and efficiency of the method.


Keywords: Differential Quadrature Method; Singular perturbation; Ordinary differential equation; Two point boundary value problem; Boundary layer


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ARTICLE INFORMATION




Accepted: 2011-08-26
Available Online: 2011-09-01


Cite this article:

Prasad, H.S., Reddy, Y.N. 2011. Numerical treatment of singularly perturbed two-point boundary value problems with mixed condition using differential quadrature method. International Journal of Applied Science and Engineering, 9, 207–221. https://doi.org/10.6703/IJASE.2011.9(3).207


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