rktf65 Module Procedure

module procedure rktf65 module subroutine rktf65(me, t, x, h, xf, xerr)

Tsitouras & Famelis Runge-Kutta 6(5) method.

Reference

Note

The floating point coefficients here were generated from the rational ones from the 2nd reference.

Note

This is a first-same-as-last (FSAL) step.

Arguments

Type IntentOptional Attributes Name
class(rktf65_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~~rktf65~~CallsGraph proc~rktf65 rklib_variable_steps::rktf65 f f proc~rktf65->f funcs funcs proc~rktf65->funcs proc~check_fsal_cache rklib_module::rk_variable_step_fsal_class%check_fsal_cache proc~rktf65->proc~check_fsal_cache proc~set_fsal_cache rklib_module::rk_variable_step_fsal_class%set_fsal_cache proc~rktf65->proc~set_fsal_cache proc~check_fsal_cache->f proc~set_fsal_cache->f