MATLAB: Is the Symbolic Toolbox required to evaluate ODE’s

odeSymbolic Math Toolbox

I read that the PDE Toolbox is required for PDE's; is the Symbolic Math Toolbox required for ODE's, both linear and nonlinear?

Best Answer

Symbolic Math Toolbox would be of great help to solve ODEs although you can use some functions like ode45 and ode15s from MATLAB itself to solve them.

Related Solutions

MATLAB: How to integrate a set of coupled ODE’s

Your system is ‘stiff’, so use one of the stiff solvers instead of ode45:

[t,y] = ode15s(@rate_eq,tspan,y0);

With this change, you code ran with:

Elapsed time is 19.170238 seconds.

(on my machine), and produced this plot:

How to integrate a set of coupled ODE's.png

MATLAB: How to estimate coefficients for a system of ODE’s

If you are doing parameter estimation of a system of ordinary differential equations, these will likely provide some guidance:

Monod kinetics and curve fitting (link)

Solving Coupled Differential Equations (link)

Parameter Estimation for a System of Differential Equations (link)

This is usually a fairly straightforward problem.

Best Answer

Related Solutions

MATLAB: How to integrate a set of coupled ODE’s

MATLAB: How to estimate coefficients for a system of ODE’s

Related Question