Computational Solution of Singularly Perturbed Two-Point Boundary Value Problems Using Derivative Quadrature Method
Dr. K. Sharath Babu , Malla Reddy Engineering College (Autonomous) ; G. Gangadhar ,Malla Reddy Engineering college ; N.Amarnath ,MLR Institute of Technology(autonomous) ; V. Nagaraju ,Malla Reddy Enginerring college
Differential Quadrature method; perturbation parameter, Singular perturbation; Ordinary differential equation, Boundary layer, Two –point boundary value problem, Deviating parameter
This present research paper describes the application of Differential Quadrature Method (DQM) for getting the computational solution of singularly perturbed two point boundary value problems with varied condition in this method the concept based on the approximation of the derivatives of the unknown functions involved in the differential equations at the grid point of the solution domain. It is a significant discretization technique in solving initial and /or boundary value problems precisely using a considerably small number of mesh points. To test the applicability of the method we have solved several related model problems and presented the computational results. The computed results have been compared with the exact/approximate solution to exhibit the accuracy and efficiency of the developed technique.
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Paper ID: GRDJEV01I070034
Published in: Volume : 1, Issue : 7
Publication Date: 2016-07-01
Page(s): 29 - 35
Published in: Volume : 1, Issue : 7
Publication Date: 2016-07-01
Page(s): 29 - 35