You can enter coefficients for a system with N =
equations in the PDE Modeler app. To do so, open the PDE Modeler app and select
Then select PDE > PDE Specification.
Enter character expressions for coefficients using the form in Coefficients for Scalar PDEs in PDE Modeler App, with additional options for nonlinear equations. The additional options are:
ith component of
1 or 2.
Similarly, represent the
of the gradients of the solution
1 or 2.
For elliptic problems, when you include coefficients
uy(i), you must use the nonlinear solver. Select Solve
> Parameters > Use nonlinear solver.
Do not use quotes or unnecessary spaces in your entries.
For higher-dimensional systems, do not use the PDE Modeler app. Represent your problem coefficients at the command line.
You can enter scalars into the
corresponding to these equations:
If you need matrix versions of any of the
enter expressions separated by spaces. You can give 1-, 2-, 3-, or
4-element matrix expressions. These mean:
For example, these expressions show one of each type (1-, 2-, 3-, and 4-element expressions)
These expressions correspond to the equations