rk8_10 Module Procedure

module procedure rk8_10 module subroutine rk8_10(me, t, x, h, xf)

Take one Runge Kutta 8 integration step: t -> t+h (x -> xf) This is Formula (8-10) from Reference [1].

Reference

  1. E. B. Shanks, "Higher Order Approximations of Runge-Kutta Type", NASA Technical Note, NASA TN D-2920, Sept. 1965.

Arguments

Type IntentOptional Attributes Name
class(rk8_10_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


Calls

proc~~rk8_10~~CallsGraph proc~rk8_10 rklib_fixed_steps::rk8_10 f f proc~rk8_10->f funcs funcs proc~rk8_10->funcs