A Class of Continuous Linear Multistep Method for Solving Second Order Ordinary Differential Equations

Authors : J.O. Adegboro; O.B. Akingbulu

Volume/Issue : Volume 8 - 2023, Issue 8 - August

Google Scholar : https://bit.ly/3TmGbDi

Scribd : https://tinyurl.com/3ju3ku7w

DOI : https://doi.org/10.5281/zenodo.8410248

In this research work, a Class of Continuous 4-Step Method (CCSM) for solv- ing second order ordinary differential equations is provided. The step size of the approximate solution affects the coefficients of the developed approach. As a by-product of the continuous technique, a discrete second derivatives method is obtained from the continuous method. At any stage in collocation, the primary predictor needed for the implicit method assessment is of the same order as the method. The stability, consistency, and convergence aspects of the method were discussed and used to the solve linear and non-linear problems in order to demon- strate its applicability and efficiency.

Keywords : Interpolation, Collocation, Ordinary Differential Equation, Predictor-Corrector.


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