MATLAB: How to specify multiple boundary conditions for the same boundary in MATLAB R2012a PDE Toolbox

Partial Differential Equation Toolbox

How do I specify multiple boundary conditions for the same boundary in MATLAB R2012a PDE Toolbox?

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The ability to specify Dirichlet and Neumann BC’s on the same boundary for the same equation is not available in MATLAB. If both are specified, one of them will be ignored when formulating the discretized system equations. A possible work around for this issue is to rewrite the PDE system in terms of more equations and variables until only one boundary condition per variable is needed.

Related Solutions

MATLAB: How to specify boundary conditions on subdomain borders using the Partial Differential Equation (PDE) Toolbox 1.0.13 (R2008b)

One should be able to specify boundary conditions on all external boundaries of any geometry.

 For example, look at the “A scattering problem” example in the documentation. It has a Neumann condition at the outer boundary and a Dirichlet condition at the inner boundary (that is formed by the square sub-region).

Boundary conditions on internal boundaries such as boundaries across which material properties or governing equations might change are not required by Finite Element method.

MATLAB: Boundary conditions for PDE

This has nothing to do with matlab.

For your linear advection equation, you can use periodic boundary condition, neumann boundary condition or mixture of neumann and Dirichlet.

All of them are valid depending on what you want to do. Just note that the boundary condition should be also valid at time t=0 so consistent with your atan(x) at the boundaries.

Start with Periodic boundary condition, that is the easiest, numerically the most accurate, and usually in most examples people use that anyway.

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Related Solutions

MATLAB: How to specify boundary conditions on subdomain borders using the Partial Differential Equation (PDE) Toolbox 1.0.13 (R2008b)

MATLAB: Boundary conditions for PDE

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