Article
Solution of two point boundary value problems, a numerical approach: parametric difference method
Authors
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
P. Pandey, “Solution of two point boundary value problems, a numerical approach: Parametric difference method,” Applied Mathematics and Nonlinear Sciences, vol. 3, no. 2, pp. 649–658, 2018, doi: 10.2478/AMNS.2018.2.00049.
Pandey P. Solution of two point boundary value problems, a numerical approach: Parametric difference method. Applied Mathematics and Nonlinear Sciences. 2018;3(2):649–658. doi:10.2478/AMNS.2018.2.00049.
Pandey, P. (2018), ‘Solution of two point boundary value problems, a numerical approach: Parametric difference method’, Applied Mathematics and Nonlinear Sciences, 3(2), pp. 649–658. Available at: https://doi.org/10.2478/AMNS.2018.2.00049.
Pandey, P.k. “Solution of Two Point Boundary Value Problems, a Numerical Approach: Parametric Difference Method.” Applied Mathematics and Nonlinear Sciences, vol. 3, no. 2, 2018, pp. 649–658. https://doi.org/10.2478/AMNS.2018.2.00049.
Pandey, P.k. “Solution of Two Point Boundary Value Problems, a Numerical Approach: Parametric Difference Method.” Applied Mathematics and Nonlinear Sciences 3, no. 2 (2018): 649–658. https://doi.org/10.2478/AMNS.2018.2.00049.
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Published by: Engineering Journals


