Efficient adaptive step-size formulation of an optimized two-step hybrid block method for directly solving general second-order initial-value problems

被引：0
|
作者：
Rajat Singla
Gurjinder Singh
V. Kanwar
Higinio Ramos
机构：
[1] I. K. Gujral Punjab Technical University Jalandhar,Department of Mathematical Sciences
[2] Main Campus,Department of Mathematics
[3] Akal University Talwandi Sabo,Scientific Computing Group
[4] University Institute of Engineering and Technology,undefined
[5] Panjab University,undefined
[6] Universidad de Salamanca,undefined
[7] Escuela Politécnica Superior de Zamora,undefined
[8] Campus Viriato,undefined
来源：
Computational and Applied Mathematics | 2021年 / 40卷
关键词：
Ordinary differential equations; Hybrid methods; Block methods; Embedded-type procedure; 65L04; 65L05; 65L06; 65L20;
D O I：
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学科分类号：
摘要：
In this article, we have considered an adaptive step-size formulation of an optimized block method for directly solving general second-order initial value problems of ODEs numerically. This formulation has been done using an embedded-type procedure resulting in an efficient method that performs much better compared to its counterpart fixed step-size method and other existing block strategies.
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