rkc108 Module Procedure

module procedure rkc108 module subroutine rkc108(me, t, x, h, xf, xerr)

A modification of Curtis' order 10 Runge-Kutta scheme with an order 8 embedded scheme

Reference

  • A.R.Curtis, "High-order Explicit Runge-Kutta Formulae, Their uses, and Limitations", J. Inst. Maths Applics (1975) 16, 35-55.
  • Rational coefficients

Arguments

Type IntentOptional Attributes Name
class(rkc108_class), intent(inout) :: me
real(kind=wp), intent(in) :: t

initial time

real(kind=wp), intent(in), dimension(me%n) :: x

initial state

real(kind=wp), intent(in) :: h

time step

real(kind=wp), intent(out), dimension(me%n) :: xf

state at time t+h

real(kind=wp), intent(out), dimension(me%n) :: xerr

truncation error estimate for x


Calls

proc~~rkc108~~CallsGraph proc~rkc108 rklib_variable_steps::rkc108 f f proc~rkc108->f funcs funcs proc~rkc108->funcs