fluxion

v0.2.0

fluxion v0.2.0 Fluxion.ODE behaviour View Source

An Ordinary Differential Equation which can be used to solve initial value problems.

@y’(t) = f(t, y(t)), t \ge 0@

Examples

Define an ODE module for the equation @y’(t) = te^t@.

iex> defmodule Exp do
...>   @behaviour Fluxion.ODE
...>   @impl true
...>   def f(t, y_t), do: t * :math.exp(t)
...> end
iex> IO.puts(Exp.f(1, 2))
:ok

Link to this section Summary

Types

t()

Functions

f!(ode, t, y_t)

Evaluate an ODE module with the provided time and value

Callbacks

f(t, y_t)

Compute the derivative at a given point in time. e.g. compute @f(t, y_t)@ for a given value of @t@

Link to this section Types

Link to this section Functions

Link to this function f!(ode, t, y_t) View Source 
f!(ode :: t(), t :: number(), y_t :: number()) :: number()

Evaluate an ODE module with the provided time and value.

Examples 

iex> defmodule Const do
...>   @behaviour Fluxion.ODE
...>   @impl true
...>   def f(t, y_t), do: 2.0
...> end
iex> Fluxion.ODE.f!(Const, 10.0, -87.0)
2.0

Link to this section Callbacks

Link to this callback f(t, y_t) View Source 
f(t :: number(), y_t :: number()) :: number()

Compute the derivative at a given point in time. e.g. compute @f(t, y_t)@ for a given value of @t@.