Note: This page has been translated by MathWorks. Please click here

To view all translated materals including this page, select Japan from the country navigator on the bottom of this page.

To view all translated materals including this page, select Japan from the country navigator on the bottom of this page.

Solve fully implicit differential equations — variable order method

`[`

also
uses the integration settings defined by `t`

,`y`

] =
ode15i(`odefun`

,`tspan`

,`y0`

,`yp0`

,`options`

)`options`

,
which is an argument created using the `odeset`

function.
For example, use the `AbsTol`

and `RelTol`

options
to specify absolute and relative error tolerances, or the `Jacobian`

option
to provide the Jacobian matrix.

`[`

additionally
finds where functions of `t`

,`y`

,`te`

,`ye`

,`ie`

]
= ode15i(`odefun`

,`tspan`

,`y0`

,`yp0`

,`options`

)`(t,y,y')`

, called event
functions, are zero. In the output, `te`

is the time
of the event, `ye`

is the solution at the time of
the event, and `ie`

is the index of the triggered
event.

For each event function, specify whether the integration is
to terminate at a zero and whether the direction of the zero crossing
matters. Do this by setting the `'Events'`

property
to a function, such as `myEventFcn`

or `@myEventFcn`

,
and creating a corresponding function: [`value`

,`isterminal`

,`direction`

]
= `myEventFcn`

(`t`

,`y`

,`yp`

).
For more information, see ODE Event Location.

returns
a structure that you can use with `sol`

= ode15i(___)`deval`

to evaluate
the solution at any point on the interval `[t0 tf]`

.
You can use any of the input argument combinations in previous syntaxes.

[1] Lawrence F. Shampine, "Solving
0 = F(t, y(t), y′(t)) in MATLAB," *Journal
of Numerical Mathematics*, Vol.10, No.4, 2002, pp. 291-310.

Was this topic helpful?