A type insensitive code for delay differential equations basing on adaptive and explicit Runge-Kutta interpolation methods
An algorithm based on a third order linearly implicit Runge-Kutta method with Lagrange or Hermite interpolation of degrees 2 or 3, respectively for the retarded argument for stiff delay equations and an explicit Runge-Kutta interpolation method for nonstiff delay equations is proposed. An automatic stiffness detection and stepsize control based on Richardson extrapolation is presented and some numerical results and comparisons with other codes are given.
third order linearly implicit Runge-Kutta method
explicit Runge-Kutta interpolation method
scientific article; zbMATH DE number 4082877
scientific article