International Journal of Computer Applications |
Foundation of Computer Science (FCS), NY, USA |
Volume 57 - Number 2 |
Year of Publication: 2012 |
Authors: P. K. Pandey |
10.5120/9088-2847 |
P. K. Pandey . An Implicit Rational Method for Solution of Second Order Initial Value Problems in Ordinary Differential Equations. International Journal of Computer Applications. 57, 2 ( November 2012), 30-33. DOI=10.5120/9088-2847
In this article, we report an implicit rational method for solution of second order initial value problems in ordinary differential equation. We have presented local truncation error and stability property for the proposed method. We observed that the method has cubic rate of convergenceandA-stable. Numerical results for linear and nonlinear problems presented. These results confirm the accuracy, efficiency and effectiveness of the rational method.