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


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.


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

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