<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...

		MAE

		N

M	λ	4	8	16
	.10	.11055857(0)	.11045857(0)	.11032658(0)

8	.15	.17244926(0)	.17190818(0)	.17155264(0)

	.20	.23749650(0)	.23588327(0)	00000

		MAE

		M

N	λ	64	128	256
	.19	.10895841(0)	.11119245(0)	.11232845(0)

	.199	.11521111(0)	.11761030(0)	.11882679(0)

16	.1999	.11581678(0)	.11824594(0)	.11947899(0)

	.20	.93044417(-8)	.93044417(-8)	.93044417(-8)

	.201	.12292860(0)	.12553489(0)	.12686017(0)

	.21	.82138918(-1)	.75354241(-1)	.69477819(-1)

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.

Maximum absolute error (Problem 2).

Maximum absolute error (Problem 1).

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.

Maximum absolute error (Problem 2).

Maximum absolute error (Problem 1).

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