Application of single step with three generalized hybrid points block method for solving third order ordinary differential equations

被引：4
|
作者：
Omar, Zurni [1 ]
Abdelrahim, Rafat [1 ]
机构：
[1] Univ Utara Malaysia, Coll Arts & Sci, Dept Math, Sch Quantitat Sci, Changlun, Malaysia
来源：
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2016年 / 9卷 / 05期
关键词：
Hybrid method; block method; third order differential equation; single step; three generalized off step points; MULTISTEP METHOD;
D O I：
10.22436/jnsa.009.05.67
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This article considers the implementation of one step hybrid block method, three generalized hybrid points developed in collocation interpolation approach. The basic numerical properties of the hybrid block method was established and found to be convergent. The efficiency of the new method was confirmed on some initial value problems and found to give better approximation than the existing methods in term of error. (C) 2016 All rights reserved.
引用
收藏
页码：2705 / 2717
页数：13
相关论文
共 50 条
  • [1] Solving third order ordinary differential equations using one-step block method with four equidistant generalized hybrid points
    Adeyeye, Oluwaseun
    Omar, Zurni
    [J]. IAENG International Journal of Applied Mathematics, 2019, 49 (02):
  • [2] Optimization of one step block method with three hybrid points for solving first-order ordinary differential equations
    Kashkari, Bothayna S. H.
    Syam, Muhammed I.
    [J]. RESULTS IN PHYSICS, 2019, 12 : 592 - 596
  • [3] A new single step hybrid block algorithm for solving fourth order ordinary differential equations directly
    Abdelrahim, Raft
    Hdidi, Walid
    [J]. ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2023, (49): : 651 - 668
  • [4] Block Method for Third Order Ordinary Differential Equations
    Zainuddin, Nooraini
    Ibrahim, Zarina Bibi
    [J]. PROCEEDINGS OF THE 24TH NATIONAL SYMPOSIUM ON MATHEMATICAL SCIENCES (SKSM24): MATHEMATICAL SCIENCES EXPLORATION FOR THE UNIVERSAL PRESERVATION, 2017, 1870
  • [5] An Accurate Block Hybrid Collocation Method for Third Order Ordinary Differential Equations
    Yap, Lee Ken
    Ismail, Fudziah
    Senu, Norazak
    [J]. JOURNAL OF APPLIED MATHEMATICS, 2014,
  • [6] Optimized Hybrid Block Adams Method for Solving First Order Ordinary Differential Equations
    Soomro, Hira
    Zainuddin, Nooraini
    Daud, Hanita
    Sunday, Joshua
    [J]. CMC-COMPUTERS MATERIALS & CONTINUA, 2022, 72 (02): : 2947 - 2961
  • [7] Solving Directly General Third Order Ordinary Differential Equations Using Two-Point Four Step Block Method
    Majid, Zanariah Abdul
    Azmi, Nurul Asyikin
    Suleiman, Mohamed
    Ibrahaim, Zarina Bibi
    [J]. SAINS MALAYSIANA, 2012, 41 (05): : 623 - 632
  • [8] Variable Order Block Method for Solving Second Order Ordinary Differential Equations
    Ibrahim, Zarina Bibi
    Zainuddin, Nooraini
    Othman, Khairil Iskandar
    Suleiman, Mohamed
    Zawawi, Iskandar Shah Mohd
    [J]. SAINS MALAYSIANA, 2019, 48 (08): : 1761 - 1769
  • [9] Construction of General Implicit-Block Method with Three-Points for Solving Seventh-Order Ordinary Differential Equations
    Turki, Mohammed Yousif
    Salih, Mohammed Mahmood
    Mechee, Mohammed S.
    [J]. SYMMETRY-BASEL, 2022, 14 (08):
  • [10] Four Step Hybrid Block Method for the Direct Solution of Fourth Order Ordinary Differential Equations
    Abdelrahim, Raft
    [J]. INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2021, 12 (01): : 215 - 229
12345