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.
引用
收藏
相关论文
共 50 条
  • [1] Efficient adaptive step-size formulation of an optimized two-step hybrid block method for directly solving general second-order initial-value problems
    Rajat Singla
    Gurjinder Singh
    V. Kanwar
    Higinio Ramos
    Computational and Applied Mathematics, 2021, 40
  • [2] Efficient adaptive step-size formulation of an optimized two-step hybrid block method for directly solving general second-order initial-value problems
    Singla, Rajat
    Singh, Gurjinder
    Kanwar, V
    Ramos, Higinio
    COMPUTATIONAL & APPLIED MATHEMATICS, 2021, 40 (06):
  • [3] Optimization of One-Step Block Method for Solving Second-Order Fuzzy Initial Value Problems
    Al-Refai, Safa
    Syam, Muhammed I.
    Al-Refai, Mohammed
    COMPLEXITY, 2021, 2021
  • [4] FSAL Explicit Two-Step Hybrid Method for Solving Special Second-Order Initial Value Problems
    Yahya, Nur Azila
    Awang, Masriah
    2015 INTERNATIONAL SYMPOSIUM ON MATHEMATICAL SCIENCES AND COMPUTING RESEARCH (ISMSC), 2015, : 438 - 442
  • [5] Block Variable Order Step Size Method For Solving Higher Order Orbital Problems
    Rasedee, Ahmad Fadly Nurullah
    Ijam, Hazizah Mohd
    Sathar, Mohammad Hasan Abdul
    Ishak, Norizarina
    Nazri, Muhamad Azrin
    Kamarudin, Nur Shuhada
    Ramli, Nur Ainna
    13TH IMT-GT INTERNATIONAL CONFERENCE ON MATHEMATICS, STATISTICS AND THEIR APPLICATIONS (ICMSA2017), 2017, 1905
  • [6] Variable-order, variable-step methods for second-order initial-value problems
    Khiyal, MSH
    Thomas, RM
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1997, 79 (02) : 263 - 276
  • [7] An Efficient Method for Solving Second-Order Fuzzy Order Fuzzy Initial Value Problems
    Dallashi, Qamar
    Syam, Muhammed I.
    SYMMETRY-BASEL, 2022, 14 (06):
  • [8] An optimized two-step hybrid block method for solving general second order initial-value problems
    Higinio Ramos
    Z. Kalogiratou
    Th. Monovasilis
    T. E. Simos
    Numerical Algorithms, 2016, 72 : 1089 - 1102
  • [9] An optimized two-step hybrid block method for solving general second order initial-value problems
    Ramos, Higinio
    Kalogiratou, Z.
    Monovasilis, Th.
    Simos, T. E.
    NUMERICAL ALGORITHMS, 2016, 72 (04) : 1089 - 1102
  • [10] 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
12345