Toward a two-step Runge–Kutta code for nonstiff differential systems

Volume 28 / 2001

Zbigniew Bartoszewski, Zdzis/law Jackiewicz Applicationes Mathematicae 28 (2001), 353-365 MSC: 65L05, 65L06. DOI: 10.4064/am28-3-9

Abstract

Various issues related to the development of a new code for nonstiff differential equations are discussed. This code is based on two-step Runge–Kutta methods of order five and stage order five. Numerical experiments are presented which demonstrate that the new code is competitive with the Matlab ode45 program for all tolerances.

Authors

  • Zbigniew BartoszewskiFaculty of Technical Physics and
    Applied Mathematics
    Technical University of Gdańsk
    G. Narutowicza 11/12
    80-952 Gdańsk, Poland
    e-mail
  • Zdzis/law JackiewiczDepartment of Mathematics
    Arizona State University
    Tempe, AZ 85287, U.S.A.
    e-mail

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