A 14-Order Hybrid Block Method in Variable Step-Size Mode for Solving Second-Order Initial Value Problems

被引：0
|
作者：
Jator S.N. [1 ]
Ramos H. [2 ,3 ]
Modebei M.I. [4 ,5 ]
机构：
[1] Department of Mathematics and Statistics, Lamar University, Beaumont, 77710, TX
[2] Scientific Computing Group, Universidad de Salamanca, Plaza de la Merced, Salamanca
[3] Escuela Politécnica Superior de Zamora, Campus Viriato, Zamora
[4] Mathematics Programme, National Mathematical Centre, Abuja
[5] Department of Mathematics, University of Abuja
来源：
Mathematical Problems in Engineering | 2023年 / 2023卷
关键词：
Initial value problems - Numerical methods;
D O I：
10.1155/2023/5754475
中图分类号：
学科分类号：
摘要：
The search for efficient higher order methods is a constant goal in numerical analysis. In this paper, a higher order two-step hybrid block method is presented to directly solve second-order initial value problems in ordinary differential equations. In addition to the higher order, the proposed method has been formulated in variable step-size mode to extract its best performance. Comparisons with other methods in the literature show the good accuracy it can provide. Theoretical aspects such as linear stability and convergence analysis are also discussed. Copyright © 2023 Samuel N. Jator et al.
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