Ninth Order Block Hybrid Collocation Method for Second Order Ordinary Differential Equations

被引：1
|
作者：
Yap, Lee Ken [1 ,2 ,3 ]
Ismail, Fudziah [2 ,3 ]
机构：
[1] Univ Tunku Abdul Rahman, Dept Math & Actuarial Sci, Jalan Genting Kelang, Kuala Lumpur 53300, Malaysia
[2] Univ Putra Malaysia, Inst Math Res, Upm Serdang 43400, Selangor, Malaysia
[3] Univ Putra Malaysia, Dept Math, Upm Serdang 43400, Selangor, Malaysia
来源：
PROGRESS IN APPLIED MATHEMATICS IN SCIENCE AND ENGINEERING PROCEEDINGS | 2016年 / 1705卷
关键词：
D O I：
10.1063/1.4940254
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A ninth order block hybrid collocation method is proposed for solving general second order ordinary differential equations directly. The derivation involves interpolation and collocation of basic polynomial that generates the main and additional methods. These methods are applied simultaneously to provide approximate solutions at five main points and three off-step points. The stability properties of the block method are discussed. Some illustrative examples are given to demonstrate the efficiency of the method.
引用
收藏
页数：8
相关论文
共 50 条
  • [1] 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,
  • [2] 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
  • [3] Four Point Block Hybrid Collocation Method for Direct Solution of Third Order Ordinary Differential Equations
    Yap, Lee Ken
    Ismail, Fudziah
    [J]. PROCEEDING OF THE 25TH NATIONAL SYMPOSIUM ON MATHEMATICAL SCIENCES (SKSM25): MATHEMATICAL SCIENCES AS THE CORE OF INTELLECTUAL EXCELLENCE, 2018, 1974
  • [4] Block Hybrid Collocation Method with Application to Fourth Order Differential Equations
    Yap, Lee Ken
    Ismail, Fudziah
    [J]. MATHEMATICAL PROBLEMS IN ENGINEERING, 2015, 2015
  • [5] 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
  • [6] Modified Hybrid Method with Four Stages for Second Order Ordinary Differential Equations
    Samat, Faieza
    Ismail, Eddie Shahril
    [J]. MATHEMATICS, 2021, 9 (09)
  • [7] LEGENDRE SPECTRAL COLLOCATION METHOD FOR SECOND-ORDER NONLINEAR ORDINARY/PARTIAL DIFFERENTIAL EQUATIONS
    Yi, Lijun
    Wang, Zhongqing
    [J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2014, 19 (01): : 299 - 322
  • [8] Solution of Third Order Ordinary Differential Equation using Improved Block Hybrid Collocation Method
    Chien, Lee Khai
    Din, Ummul Khair Salma
    Ahmad, Rokiah Rozita
    [J]. SAINS MALAYSIANA, 2018, 47 (09): : 2179 - 2186
  • [9] A New Implicit Block Method for Solving Second Order Ordinary Differential Equations Directly
    Omar, Zurni
    Kuboye, John Olusola
    [J]. GAZI UNIVERSITY JOURNAL OF SCIENCE, 2015, 28 (04): : 689 - 694
  • [10] A class of hybrid collocation methods for third-order ordinary differential equations
    Awoyemi, DO
    Idowu, OM
    [J]. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2005, 82 (10) : 1287 - 1293
12345