Does Matlab have its own RK4 package?

Does Matlab have its own Runge Kutta package or must I write my own? I am looking for an algorithm for n equations.

Answer 1

[Star Strider]

MATLAB has a powerful set of built-in ODE and related differential equation solvers (and partial differential equation solvers in the Partial Differential Equation Toolbox). See the documentation for ode45 and its friends for details. There might be others in the File Exchange.

[jake smith]

I am a new user of Matlab, but how do you call those packages or toolbox?

[Star Strider]

The ‘ode45’ in my original Answer is a hyperlink to the documentation for it. You should be able to access it and look through it. It has a relatively complete description of its use. If you have a particular ODE you want to integrate, post the code for your ODE function and I can help you code the integration.

[jake smith]

No I already went to the link, but do you mean there is a download page for the documentation (like what Mathematica/Maple does)? Because I don't see a download link.

I already have a code of my own, but I just wanted to compare it with what MatLab historically has and check some consistency.

It's a really basic RK4. I can make one up right now (this is in norm form for convenience).

y1' = y1+y2+y3

y2 = y1'

y2' = y1*y3+y_2

y3 = y2'

y3' = y2+ y1*y2^3

Let's say I add initial conditions.

(y1(0), y2(0), y3(0)) = (0,1,2)

[Walter Roberson]

There is no download link for the documentation; that is the link to the documentation for ode45.