<abstract xmlns="http://www.w3.org/1999/xhtml"><p>In this article, we propose a new computational method for second order initial value problems in
ordinary differential equations. The algorithm developed is based on a local representation of theoretical solution of the second order initial value problem by a non-linear interpolating function. Numerical examples are solved to ensure the computational performance of the algorithm for both linear and non-linear initial value problems. From the results we obtained, the algorithm can be said computationally efficient and effective.</p></abstract>

In this article, we propose a new computational method for second order initial value problems in
ordinary differential equations. The algorithm developed is based on a local representation of theoretical solution of the second order initial value problem by a non-linear interpolating function. Numerical examples are solved to ensure the computational performance of the algorithm for both linear and non-linear initial value problems. From the results we obtained, the algorithm can be said computationally efficient and effective.

A new computational algorithm for the solution of second order initial value problems
in ordinary differential equations

Applied Mathematics and Nonlinear Sciences

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

In this article, we propose a new computational method for second order initial value problems in
ordinary differential equations. The algorithm developed is...

A new computational algorithm for the solution of second order initial value problems in ordinary differential equations

Published Online: Oct 03, 2018

Page range: 167 - 174

Received: Mar 09, 2018

Accepted: May 15, 2018

DOI: https://doi.org/10.21042/AMNS.2018.1.00013

Keywords
Absolute Stability, Finite difference approximations, Initial Value Problems, Maximum Absolute Error, Nonlinear IVP

© 2018 P.K. Pandey, published by Sciendo

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

A new computational algorithm for the solution of second order initial value problems in ordinary differential equations

Published Online: Oct 03, 2018

Page range: 167 - 174

Received: Mar 09, 2018

Accepted: May 15, 2018

DOI: https://doi.org/10.21042/AMNS.2018.1.00013

KeywordsAbsolute Stability, Finite difference approximations, Initial Value Problems, Maximum Absolute Error, Nonlinear IVP

© 2018 P.K. Pandey, published by Sciendo

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

Keywords
Absolute Stability, Finite difference approximations, Initial Value Problems, Maximum Absolute Error, Nonlinear IVP