Partial Differential Equation Toolbox

Handling Boundary Conditions

The following boundary conditions can be handled for scalar u:

• Dirichlet:
  
  

on the boundary

• Generalized Neumann:
  
  

on

where is the outward unit normal and g, q, h, and r can be complex valued functions of x and y defined on . For the nonlinear PDE, the coefficients may depend on u. For time-dependent problems, the coefficients may also depend on t. For PDE systems, Dirichlet, generalized Neumann, and mixed boundary conditions are supported.