rkt54 Module Procedure

module procedure rkt54 module subroutine rkt54(me, t, x, h, xf, xerr)

Tsitouras 5(4) method

Reference

  • Ch. Tsitouras, "Runge-Kutta pairs of order 5(4) satisfying only the first column simplifying assumption", Computers & Mathematics with Applications, Vol. 62, No. 2, pp. 770 - 775, 2011.
  • Higher-precision coefficients

Arguments

Type IntentOptional Attributes Name
class(rkt54_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~~rkt54~~CallsGraph proc~rkt54 rklib_variable_steps::rkt54 f f proc~rkt54->f funcs funcs proc~rkt54->funcs proc~check_fsal_cache rklib_module::rk_variable_step_fsal_class%check_fsal_cache proc~rkt54->proc~check_fsal_cache proc~set_fsal_cache rklib_module::rk_variable_step_fsal_class%set_fsal_cache proc~rkt54->proc~set_fsal_cache proc~check_fsal_cache->f proc~set_fsal_cache->f