Systems of PDEs

As described in Types of PDE Problems You Can Solve, Partial Differential Equation Toolbox™ can solve systems of PDEs. This means you can have N coupled PDEs, with coupled boundary conditions. The solvers such as assempde and hyperbolic can solve systems of PDEs with any number N of components.

Scalar PDEs are those with N = 1, meaning just one PDE. Systems of PDEs generally means N > 1. The documentation sometimes refers to systems as multidimensional PDEs or as PDEs with vector solution u.

In all cases, PDE systems have a single 2-D geometry and mesh. It is only N, the number of equations, that can vary.

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