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Partial Differential Equation Toolbox 1.0.15
Product Description
- Introduction and Key Features
- Working with the Partial Differential Equation Toolbox
- Defining and Solving PDEs
- Handling Boundary Conditions
- Toolbox Application Modes
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.
Visualization tools provide multiple ways to plot results. A contour plot with gradient arrows shows the temperature and heat flux. The temperature gradient is displayed using 3-D plotting tools.
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