Predictor-Corrector Linear Multistep Method for Direct Solution of Initial Value Problems of Second Order Ordinary Dierential Equations
Asian Journal of Physical and Chemical Sciences · pp. 1–9 · Published 7 May 2018
10.9734/AJOPACS/2018/41034Abstract
In this paper, we considered method of interpolation of the approximate solution and collocation of the differential system to generate a continuous linear multistep method. The basic properties of the method was investigated and found to be zero stable, consistent, P-stable and convergent. The method was tested on numerical examples solved by the existing methods, our method was found to performed better in terms of accuracy.
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