Partial Differential Equation Toolbox™ 1.0.12

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.