ode_euler_system, an Octave code which interactively applies the Euler method to estimate the solution of a system of ordinary differential equation (ODE) y'=f(x,y), over the interval [a,b], with initial condition y(a)=ya, using n steps.
The user enters the name of an M file evaluating f(x,y), the values of a and b, the initial condition vector ya, and the value of n.
The program divides [a,b] into n equal intervals, and takes n steps. It returns arrays xp and yp containing the results.
The program can be invoked by a function call, in which case the string specifying f(x) must be quoted:
[ xp, yp ] = ode_euler_system ( 'lotka(x,y)', 0.0, 50.0, [4,2], 8000 );
or, if called with no arguments, it will request them:
[ xp, yp ] = ode_euler_system ( );
Enter function formula, like lotka(x,y): lotka(x,y)
Enter left limit, a: 0.0
Enter right limit, b: 50.0
Enter initial condition, like [1,2,3]: [4,2]
Enter number of steps: 8000
The information on this web page is distributed under the MIT license.
ode_euler_system is available in a MATLAB version and an Octave version.
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