Applied Mathematics and Nonlinear Sciences
Journal license

Journal

Applied Mathematics and Nonlinear Sciences


Volume
& Issue

Volume 3, Issue 2


Published
on

December 31, 2018


Pages

649-658


DOI

Article

Solution of two point boundary value problems, a numerical approach: parametric difference method


Authors

P.K. Pandey Affiliation:
Department of Mathematics, Dyal Singh College (Univ. of Delhi), Lodhi Road, New Delhi, 110003, India


Abstract

In this article, we have presented a parametric finite difference method, a numerical technique for the solution of two point boundary value problems in ordinary differential equations with mixed boundary conditions. We have tested proposed method for the numerical solution of a model problem. The numerical results obtained for the model problem with constructed exact solution depends on the choice of parameters. The computed result of a model problem suggests that proposed method is efficient.


Keywords

Boundary Value Problem, Energy Equation, Mixed Boundary Condition, Parametric Difference Method, 65L10, 65L12


Citation

Pandey, P. (2018). Solution of two point boundary value problems, a numerical approach: Parametric difference method. Applied Mathematics and Nonlinear Sciences, 3(2), 649–658. https://doi.org/10.2478/AMNS.2018.2.00049

Published by: Engineering Journals

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