Trigonometrically fitted two-step Obrechkoff methods for the numerical solution of periodic initial value problems

被引：0
|
作者：
Shokri, Ali [1 ]
Shokri, Abbas Ali [2 ]
Mostafavi, Shabnam [1 ]
Saadat, Hosein [1 ]
机构：
[1] Univ Maragheh, Fac Math Sci, Maragheh, Iran
[2] Islamic Azad Univ, Ahar Branch, Dept Math, Ahar, Iran
来源：
IRANIAN JOURNAL OF MATHEMATICAL CHEMISTRY | 2015年 / 6卷 / 02期
关键词：
Obrechkoff methods; Trigonometrically-fitting; Initial value problems; Symmetric multistep methods; oscillating solution;
D O I：
暂无
中图分类号：
O6 [化学];
学科分类号：
0703 ;
摘要：
In this paper, we present a new two-step trigonometrically fitted symmetric Obrechkoff method. The method is based on the symmetric two-step Obrechkoff method, with eighth algebraic order, high phase-lag order and is constructed to solve IVPs with periodic solutions such as orbital problems. We compare the new method to some recently constructed optimized methods from the literature. The numerical results obtained by the new method for some problems show its superiority in efficiency, accuracy and stability.
引用
收藏
页码：145 / 161
页数：17
相关论文
共 50 条
  • [1] High phase-lag order trigonometrically fitted two-step Obrechkoff methods for the numerical solution of periodic initial value problems
    Ali Shokri
    Hosein Saadat
    [J]. Numerical Algorithms, 2015, 68 : 337 - 354
  • [2] High phase-lag order trigonometrically fitted two-step Obrechkoff methods for the numerical solution of periodic initial value problems
    Shokri, Ali
    Saadat, Hosein
    [J]. NUMERICAL ALGORITHMS, 2015, 68 (02) : 337 - 354
  • [3] Trigonometrically fitted two-step Obrechkoff linear methods for the Schrodinger equation
    Wu, Ke
    Fang, Yonglei
    Liu, Dewen
    [J]. JOURNAL OF MATHEMATICAL CHEMISTRY, 2019, 57 (05) : 1543 - 1556
  • [4] Trigonometrically fitted two-step Obrechkoff linear methods for the Schrödinger equation
    Ke Wu
    Yonglei Fang
    Dewen Liu
    [J]. Journal of Mathematical Chemistry, 2019, 57 : 1543 - 1556
  • [5] An exponentially-fitted and trigonometrically-fitted method for the numerical solution of periodic initial-value problems
    Konguetsof, A
    Simos, TE
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2003, 45 (1-3) : 547 - 554
  • [6] An improved trigonometrically fitted P-stable Obrechkoff method for periodic initial-value problems
    Wang, ZC
    Zhao, DY
    Dai, YM
    Wu, DM
    [J]. PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2005, 461 (2058): : 1639 - 1658
  • [7] Symmetric trigonometrically-fitted two-step hybrid methods for oscillatory problems
    Li, Jiyong
    Wang, Xianfen
    Deng, Shuo
    Wang, Bin
    [J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2018, 344 : 115 - 131
  • [8] Trigonometrically Fitted Two Step Hybrid Methods for the Numerical Solution of the Schrodinger Equation
    Kalogiratou, Z.
    Monovasilis, Th.
    Ramos, Higinio
    Simos, T. E.
    [J]. PROCEEDINGS OF THE INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2014 (ICNAAM-2014), 2015, 1648
  • [9] Trigonometrically fitted Adams-Bashforth-Moulton methods for periodic initial value problems
    Psihoyios, G
    Simos, TE
    [J]. COMPUTATIONAL FLUID AND SOLID MECHANICS 2003, VOLS 1 AND 2, PROCEEDINGS, 2003, : 2097 - 2100
  • [10] Dissipative trigonometrically fitted methods for the numerical solution of orbital problems
    Simos, TE
    [J]. NEW ASTRONOMY, 2004, 9 (01): : 59 - 68
12345