<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></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.

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

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

In this article, we have presented a parametric finite difference method, a numerical technique for the solution of two point boundary value problems in...

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

Published Online: Dec 31, 2018

Page range: 649 - 658

Received: Oct 27, 2018

Accepted: Dec 31, 2018

DOI: https://doi.org/10.2478/AMNS.2018.2.00049

Keywords
Boundary Value Problem, Energy Equation, Mixed Boundary Condition, Parametric Difference Method

© 2018 P.K. Pandey, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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

Published Online: Dec 31, 2018

Page range: 649 - 658

Received: Oct 27, 2018

Accepted: Dec 31, 2018

DOI: https://doi.org/10.2478/AMNS.2018.2.00049

KeywordsBoundary Value Problem, Energy Equation, Mixed Boundary Condition, Parametric Difference Method

© 2018 P.K. Pandey, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
Boundary Value Problem, Energy Equation, Mixed Boundary Condition, Parametric Difference Method