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Example: Solving a Fully Implicit ODE Problem

The following example shows how to use the function ode15i to solve the implicit ODE problem defined by Weissinger's equation

with the initial value . The exact solution of the ODE is

The example uses the function weissinger, which is provided with MATLAB, to compute the left-hand side of the equation.

Before calling ode15i, the example uses a helper function decic to compute a consistent initial value for . In the following call, the given initial value is held fixed and a guess of 0 is specified for . See the reference page for decic for more information.

You can now call ode15i to solve the ODE and then plot the numerical solution against the analytical solution with the following commands.

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