Trigonometrically fitted Adams-Bashforth-Moulton methods for periodic initial value problems

被引:0
|
作者
Psihoyios, G [1 ]
Simos, TE [1 ]
机构
[1] Anglia Polytech Univ, Sch Appl Sci, Dept Math, Cambridge CB1 1PT, England
关键词
Initial value problems; Trigonometric fitting; Adams-Bashforth-Moulton methods; Predictor-corrector methods; multistep methods;
D O I
暂无
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
In this paper a trigonometrically fitted, three-step Adams-Bashforth-Moulton (ABM) method of predictor-corrector (P-C) type is developed. The class of methods is based on the well known third order Adams-Bashforth method (as predictor) and on the third order Adams-Moulton method (as corrector). The efficiency of the new trigonometrically fitted method compared to other well known methods is demonstrated through numerical experiments.
引用
收藏
页码:2097 / 2100
页数:4
相关论文
共 50 条
  • [1] Method Adams-Bashforth-Moulton to calculate the nuclear power
    Suescun Diaz, Daniel
    Narvaez Paredes, Mauricio
    Figueroa Jimenez, Jorge Hernando
    Amador Rodriguez, Andres Felipe
    [J]. HOMBRE Y LA MAQUINA, 2013, (42-43): : 9 - 12
  • [2] Semi-Implicit and Semi-Explicit Adams-Bashforth-Moulton Methods
    Tutueva, Aleksandra
    Karimov, Timur
    Butusov, Denis
    [J]. MATHEMATICS, 2020, 8 (05)
  • [3] Adaptive IQ and IMQ-RBFs for Solving Initial Value Problems: Adams-Bashforth and Adams-Moulton Methods
    Rathan, Samala
    Shah, Deepit
    Kumar, T. Hemanth
    Charan, K. Sandeep
    [J]. INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS, 2024, 21 (03)
  • [4] Multiplicative Adams Bashforth–Moulton methods
    Emine Misirli
    Yusuf Gurefe
    [J]. Numerical Algorithms, 2011, 57 : 425 - 439
  • [5] Performance modeling of serial and parallel implementations of the fractional Adams-Bashforth-Moulton method
    Zhang, Wei
    Wei, Wenjie
    Cai, Xing
    [J]. FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2014, 17 (03) : 617 - 637
  • [6] Trigonometrically fitted two-step Obrechkoff methods for the numerical solution of periodic initial value problems
    Shokri, Ali
    Shokri, Abbas Ali
    Mostafavi, Shabnam
    Saadat, Hosein
    [J]. IRANIAN JOURNAL OF MATHEMATICAL CHEMISTRY, 2015, 6 (02): : 145 - 161
  • [7] Multiplicative Adams Bashforth-Moulton methods
    Misirli, Emine
    Gurefe, Yusuf
    [J]. NUMERICAL ALGORITHMS, 2011, 57 (04) : 425 - 439
  • [8] Performance modeling of serial and parallel implementations of the fractional Adams-Bashforth-Moulton method
    Wei Zhang
    Wenjie Wei
    Xing Cai
    [J]. Fractional Calculus and Applied Analysis, 2014, 17 : 617 - 637
  • [9] On the Extension of Adams-Bashforth-Moulton Methods for Numerical Integration of Delay Differential Equations and Application to the Moon's Orbit
    Aksim, Dan
    Pavlov, Dmitry
    [J]. MATHEMATICS IN COMPUTER SCIENCE, 2020, 14 (01) : 103 - 109
  • [10] A study of fractional Lotka-Volterra population model using Haar wavelet and Adams-Bashforth-Moulton methods
    Kumar, Sunil
    Kumar, Ranbir
    Agarwal, Ravi P.
    Samet, Bessem
    [J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2020, 43 (08) : 5564 - 5578