Super implicit two-step collocation methods for ordinary differential equations

被引：0
|
作者：
Koltape, L. Taheri [1 ]
Hojjati, G. [1 ,2 ]
Fazeli, S. [3 ]
Abdi, A. [1 ,2 ]
机构：
[1] Univ Tabriz, Fac Math Stat & Comp Sci, Tabriz, Iran
[2] Univ Tabriz, Res Dept Computat Algorithms & Math Models, Tabriz, Iran
[3] Univ Tabriz, Marand Tech Coll, Tabriz, Iran
来源：
COMPUTATIONAL & APPLIED MATHEMATICS | 2024年 / 43卷 / 06期
关键词：
Ordinary differential equations; Two-step collocation methods; Convergence; Linear stability; Super-future point technique; STIFF SYSTEMS; INTEGRATION;
D O I：
10.1007/s40314-024-02848-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper introduces a class of two-step collocation methods for the numerical solution of ordinary differential equations. These methods which are equipped with the future point technique and described in two types, to approximate the solution in each step, use the numerical solution in some points in the two previous subintervals as well as in the future subinterval. The superior features of the proposed methods in convergence order and stability in comparison with the similar methods are analyzed. The achieved improvements are verified by giving some numerical experiments.
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页数：22
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