On the Comparison of Adam-Bashforth and Adam Moulton Methods for Non-Stiff Differential Equations
Osakwe Charles Nnamdi, Olobayo Solomon Adelaja, Omowo Babajide Johnson
Asian Research Journal of Mathematics · pp. 116–129 · Published 17 Sep 2022
10.9734/arjom/2022/v18i1130430Abstract
This paper presents the comparison of the two Adams methods using extrapolation for the best method suitable for the approximation of the solutions. The two methods (Adams Moulton and Adams Bashforth) of step k = 3 to k = 4 are considered and their equations derived. The extrapolation points, order, error constant, stability regions were also derived for the steps. More importantly, the consistency and zero stability are also investigated and finally, the derived equations are used to solve some non-stiff differential equations for best in efficiency and accuracy.
Cited by 1
M. Marsudi, I. Darti · BAREKENG JURNAL ILMU MATEMATIKA DAN TERAPAN · 2025
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