• DocumentCode
    3712256
  • Title

    A phase-fitted and amplification-fitted modified Runge-Kutta method of fourth order for periodic initial value problems

  • Author

    Firas A. Fawzi;Norazak Senu;Fudziah Ismail;Zanariah Abd. Majid

  • Author_Institution
    Department of Mathematics, Faculty of Science, Universiti Putra Malaysia 43400 Serdang, Malaysia
  • fYear
    2015
  • Firstpage
    25
  • Lastpage
    28
  • Abstract
    A new Runge-Kutta method, with phase-fitted and amplification-fitted is constructed for solving first-order ordinary differential equations with periodic solutions. This new method is based on the Runge-Kutta 3/8 Rule with fourth algebraic order. In the numerical results the new method is compared with the existing method; which show that the new method is more efficient.
  • Keywords
    "Mathematical model","Dispersion","Education","Differential equations","Schrodinger equation","Nonhomogeneous media"
  • Publisher
    ieee
  • Conference_Titel
    Research and Education in Mathematics (ICREM7), 2015 International Conference on
  • Type

    conf

  • DOI
    10.1109/ICREM.2015.7357020
  • Filename
    7357020