rko129 Module Procedure

module procedure rko129 module subroutine rko129(me, t, x, h, xf, xerr)

A modification of Hiroshi Ono's order 12 Runge-Kutta scheme with an order 9 embedded scheme.

Reference

  • Hiroshi Ono, On the 25 stage 12th order explicit Runge-Kutta method, Transactions of the Japan Society for Industrial and applied Mathematics, Vol. 6, No. 3, (2006) pages 177 to 186.
  • Rational coefficients

Arguments

Type IntentOptional Attributes Name
class(rko129_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~~rko129~~CallsGraph proc~rko129 rklib_variable_steps::rko129 f f proc~rko129->f funcs funcs proc~rko129->funcs