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
关键词
Ordinary differential equations; Hybrid methods; Block methods; Embedded-type procedure; 65L04; 65L05; 65L06; 65L20;
D O I
暂无
中图分类号
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.
引用
收藏
相关论文
共 50 条
  • [31] An Optimized Two-Step Hybrid Block Method Formulated in Variable Step-Size Mode for Integrating y" = f (x, y, y′) Numerically
    Singh, Gurjinder
    Ramos, Higinio
    NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2019, 12 (02): : 640 - 660
  • [32] Integrating Oscillatory General Second-Order Initial Value Problems Using a Block Hybrid Method of Order 11
    Jator, Samuel N.
    King, Kindyl L.
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2018, 2018
  • [33] Accurate Four-Step Hybrid Block Method for Solving Higher-Order Initial Value Problems
    Adeyefa, E. O.
    Olanegan, O. O.
    BAGHDAD SCIENCE JOURNAL, 2022, 19 (04) : 787 - 799
  • [34] On the absolute stability of a two-step third order method on a graded mesh for an initial-value problem
    R. K. Mohanty
    Bishnu Pada Ghosh
    Sean McKee
    Computational and Applied Mathematics, 2021, 40
  • [35] Numerical solution of boundary value problems by using an optimized two-step block method
    Higinio Ramos
    M. A. Rufai
    Numerical Algorithms, 2020, 84 : 229 - 251
  • [36] On the absolute stability of a two-step third order method on a graded mesh for an initial-value problem
    Mohanty, R. K.
    Ghosh, Bishnu Pada
    McKee, Sean
    COMPUTATIONAL & APPLIED MATHEMATICS, 2021, 40 (01):
  • [37] Numerical solution of boundary value problems by using an optimized two-step block method
    Ramos, Higinio
    Rufai, M. A.
    NUMERICAL ALGORITHMS, 2020, 84 (01) : 229 - 251
  • [38] Overlapping Grid-Based Optimized Single-Step Hybrid Block Method for Solving First-Order Initial Value Problems
    Motsa, Sandile
    ALGORITHMS, 2022, 15 (11)
  • [39] A class of linear multi-step method adapted to general oscillatory second-order initial value problems
    Jiyong Li
    Xianfen Wang
    Ming Lu
    Journal of Applied Mathematics and Computing, 2018, 56 : 561 - 591
  • [40] A class of linear multi-step method adapted to general oscillatory second-order initial value problems
    Li, Jiyong
    Wang, Xianfen
    Lu, Ming
    JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2018, 56 (1-2) : 561 - 591