Optimization of one step block method with three hybrid points for solving first-order ordinary differential equations

被引：10
|
作者：
Kashkari, Bothayna S. H. [1 ]
Syam, Muhammed I. [2 ]
机构：
[1] Univ Jeddah, Dept Math, Fac Sci, Jeddah, Saudi Arabia
[2] UAE Univ, Dept Math Sci, Coll Sci, Al Ain, U Arab Emirates
来源：
RESULTS IN PHYSICS | 2019年 / 12卷
关键词：
One-step hybrid block method; Optimization; Stability; First-order initial value problems;
D O I：
10.1016/j.rinp.2018.12.015
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
An optimized one-step hybrid block method for the numerical solution of first-order initial value problems is presented. The method takes into consideration three hybrid points which are chosen appropriately to optimize the local truncation errors of the main formulas for the block. The method is zero-stable and consistent with fifth algebraic order. Some numerical examples are discussed to show the efficiency and the accuracy of the proposed method.
引用
收藏
页码：592 / 596
页数：5
相关论文
共 50 条
  • [21] One-Step Family of Three Optimized Second-Derivative Hybrid Block Methods for Solving First-Order Stiff Problems
    Yakubu, Saidu Daudu
    Sibanda, Precious
    JOURNAL OF APPLIED MATHEMATICS, 2024, 2024
  • [22] Ninth Order Block Hybrid Collocation Method for Second Order Ordinary Differential Equations
    Yap, Lee Ken
    Ismail, Fudziah
    PROGRESS IN APPLIED MATHEMATICS IN SCIENCE AND ENGINEERING PROCEEDINGS, 2016, 1705
  • [23] A method to tackle first-order ordinary differential equations with Liouvillian functions in the solution
    Duarte, LGS
    Duarte, SES
    da Mota, LACP
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2002, 35 (17): : 3899 - 3910
  • [24] A variable step implicit block multistep method for solving first-order ODEs
    Mehrkanoon, S.
    Majid, Z. A.
    Suleiman, M.
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2010, 233 (09) : 2387 - 2394
  • [25] A New Hybrid Block Method for Solving First-Order Differential System Models in Applied Sciences and Engineering
    Rufai, Mufutau Ajani
    Carpentieri, Bruno
    Ramos, Higinio
    FRACTAL AND FRACTIONAL, 2023, 7 (10)
  • [26] An Accurate Block Hybrid Collocation Method for Third Order Ordinary Differential Equations
    Yap, Lee Ken
    Ismail, Fudziah
    Senu, Norazak
    JOURNAL OF APPLIED MATHEMATICS, 2014,
  • [27] Generalized Hybrid One-Step Block Method Involving Fifth Derivative for Solving Fourth-Order Ordinary Differential Equation Directly
    Alkasassbeh M.
    Omar Z.
    Alkasassbeh, Mohammad (mfkasassbeh@yahoo.com), 1600, Hindawi Limited (2017):
  • [28] A New Implicit Block Method for Solving Second Order Ordinary Differential Equations Directly
    Omar, Zurni
    Kuboye, John Olusola
    GAZI UNIVERSITY JOURNAL OF SCIENCE, 2015, 28 (04): : 689 - 694
  • [29] Parallel direct integration variable step block method for solving large system of higher order ordinary differential equations
    Majid, Zanariah Abdul
    Suleiman, Mohamed
    International Journal of Computational and Mathematical Sciences, 2009, 3 (03): : 123 - 127
  • [30] Effective Pedagogy of Guiding Undergraduate Engineering Students Solving First-Order Ordinary Differential Equations
    Guo, William
    Li, Wei
    Tisdell, Christopher C.
    MATHEMATICS, 2021, 9 (14)
12345