Collocation method: Difference between revisions

Revision as of 22:32, 17 September 2007

Revision as of 10:01, 22 September 2007

Line 32:

This method is known as the "trapezoidal rule." Indeed, this method can also be derived by rewriting the differential equation as

:<math> y(t) = y(t_0) + \int_{t_0}^t f(\tau, y(\tau)) \,\textrm{d}t\tau, \, </math>

and approximating the integral on the right-hand side by the [[trapezoidal rule]] for integrals.