Matlab has some more sophisticated numerical methods for solving ODEs than - Euler's method. - Matlab's ode45 uses a - Runge-Kutta fourth-order integration - technique. To use it you need to write two little programs. The first - one, say logistic.m, - defines the differential equation + Euler's method. + + + Matlab's ode45 uses a + Runge-Kutta fourth-order integration + technique. + + + To use it you need to write two little programs. The first + one, say logistic.m, + defines the differential equation
-
function dy = logistic(t, y)
dy = y * (1 - y);
@@ -1284,14 +1289,14 @@ 1 Ordinary Differential Equations
-
+
The second program will numerically solve the ODE and plot your
solution.
y0 = 0.1;
tfinal = 6;