Sign in
Back
Optimization of one step block method with three hybrid points for solving first-order ordinary differential equations
Journal article   Open access  Peer reviewed

Optimization of one step block method with three hybrid points for solving first-order ordinary differential equations

Bothayna S. H. Kashkari and Muhammed I. Syam
Results in physics, Vol.12, pp.592-596
01/03/2019
DOI: https://doi.org/10.1016/j.rinp.2018.12.015

Abstract

Materials Science Materials Science, Multidisciplinary Physical Sciences Physics Physics, Multidisciplinary Science & Technology Technology
An optimized one-step hybrid block method for the numerical solution of first-order initial value problems is presented. The method takes into consideration three hybrid points which are chosen appropriately to optimize the local truncation errors of the main formulas for the block. The method is zero-stable and consistent with fifth algebraic order. Some numerical examples are discussed to show the efficiency and the accuracy of the proposed method.
url
https://doi.org/10.1016/j.rinp.2018.12.015View
Published (Version of record) Open

Metrics

1 Record Views

Details