Solving Higher Order Ordinary Differential Equations Using Parallel 2-Point Explicit Block Method

被引:0
|
作者
Omar, Zurni [1 ]
Suleiman, Mohamed [2 ]
机构
[1] Univ Utara Malaysia, Fac Quantitat Sci, Sintok 06010, Kedah, Malaysia
[2] Natl Accreditat Board, Petaling Jaya 46050, Selangor, Malaysia
关键词
Parallel; block method; ODEs;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The derivation of a new parallel 2-point explicit block (2PEB) method for solving dth order ordinary differential equations (ODEs) directly is made. Computational advantages are presented comparing the results obtained by the new method with that of conventional 1-point method. Numerical results suggest that the parallel 2PEB method is recommended for solving second order ODEs directly using finer step sizes.
引用
收藏
页码:15 / 23
页数:9
相关论文
共 50 条
  • [1] Parallel R-point explicit block method for solving second order ordinary differential equations directly
    Omar, Z
    Sulaiman, M
    Saman, MY
    Evans, DJ
    INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2002, 79 (03) : 289 - 298
  • [2] Solving Delay Differential Equations Using Modified 2-Point Block Method
    Aziz, Nurul Huda Abdul
    Majid, Zanariah Abdul
    PROCEEDINGS OF THE 20TH NATIONAL SYMPOSIUM ON MATHEMATICAL SCIENCES (SKSM20): RESEARCH IN MATHEMATICAL SCIENCES: A CATALYST FOR CREATIVITY AND INNOVATION, PTS A AND B, 2013, 1522 : 791 - 797
  • [3] New Parallel R-point Explicit Block Method for Solving Linear High-Order Ordinary Differential Equations Directly
    Omar, Zurni
    Suleiman, Mohamed
    SAINS MALAYSIANA, 2009, 38 (02): : 227 - 231
  • [4] Solving First Order Systems of Ordinary Differential Equations Using Parallel R-Point Block Method of Variable Step Size and Order
    Omar, Zurni B.
    Suleiman, Mohamed
    CHIANG MAI JOURNAL OF SCIENCE, 2010, 37 (01): : 1 - 13
  • [5] Solving First Order Systems of Ordinary Differential Equations Using Parallel R-Point Block Method of Variable Step Size and Order
    Omar, Zurni B.
    Suleiman, Mohamed
    CHIANG MAI JOURNAL OF SCIENCE, 2009, 36 (01): : 9 - 23
  • [6] 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
  • [7] On the Method of Differential Invariants for Solving Higher Order Ordinary Differential Equations
    Sinkala, Winter
    Kakuli, Molahlehi Charles
    AXIOMS, 2022, 11 (10)
  • [8] 2-POINT TAYLORS SERIES FOR SOLVING ORDINARY DIFFERENTIAL EQUATIONS - REPLY
    FINE, M
    JOURNAL OF THE AEROSPACE SCIENCES, 1962, 29 (03): : 354 - 354
  • [9] A NOTE ON 2-POINT TAYLOR SERIES FOR SOLVING ORDINARY DIFFERENTIAL EQUATIONS
    FINE, M
    JOURNAL OF THE AEROSPACE SCIENCES, 1961, 28 (08): : 671 - 672
  • [10] 2-Point Block Predictor-Corrector of Backward Differentiation Formulas For Solving Second Order Ordinary Differential Equations Directly
    Ibrahim, Zarina Bibi
    Othman, Khairil Iskandar
    Suleiman, Mohamed
    CHIANG MAI JOURNAL OF SCIENCE, 2012, 39 (03): : 502 - 510