Struct RKF78 

pub struct RKF78 {
    pub tol: f64,
    pub safety_factor: f64,
    pub min_step_size: f64,
    pub max_step_size: f64,
    pub max_step_iter: usize,
}

Runge-Kutta-Fehlberg 7/8th order integrator.

This integrator uses the Runge-Kutta-Fehlberg 7(8) method, an adaptive step size integrator. It evaluates f(x,y) thirteen times per step, using embedded 7th and 8th order Runge-Kutta estimates to estimate the solution and the error. The 7th order solution is propagated, and the difference between the 8th and 7th order solutions is used for error estimation and step size control.

Member variables

• tol: The tolerance for the estimated error.
• safety_factor: The safety factor for the step size adjustment.
• min_step_size: The minimum step size.
• max_step_size: The maximum step size.
• max_step_iter: The maximum number of iterations per step.

References

• Meysam Mahooti (2025). Runge-Kutta-Fehlberg (RKF78), MATLAB Central File Exchange.

Fields

tol: f64

safety_factor: f64

min_step_size: f64

max_step_size: f64

max_step_iter: usize

Implementations

impl RKF78

pub fn new( tol: f64, safety_factor: f64, min_step_size: f64, max_step_size: f64, max_step_iter: usize, ) -> Self

Trait Implementations

impl ButcherTableau for RKF78

const C: &'static [f64]

const A: &'static [&'static [f64]]

const BU: &'static [f64]

const BE: &'static [f64]

fn tol(&self) -> f64

fn safety_factor(&self) -> f64

fn min_step_size(&self) -> f64

fn max_step_size(&self) -> f64

fn max_step_iter(&self) -> usize

fn order(&self) -> usize

Order of the lower-order solution for adaptive step size control. The exponent 1/(order+1) is used in the step size formula.

impl Clone for RKF78

fn clone(&self) -> RKF78

Returns a duplicate of the value.

fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source.

impl Debug for RKF78

fn fmt(&self, f: &mut Formatter<'_>) -> Result

Formats the value using the given formatter.

impl Default for RKF78

fn default() -> Self

Returns the “default value” for a type.

impl<'de> Deserialize<'de> for RKF78

fn deserialize<__D>(__deserializer: __D) -> Result<Self, __D::Error>

where __D: Deserializer<'de>,

Deserialize this value from the given Serde deserializer.

impl Serialize for RKF78

fn serialize<__S>(&self, __serializer: __S) -> Result<__S::Ok, __S::Error>

where __S: Serializer,

Serialize this value into the given Serde serializer.

impl Copy for RKF78