Can I solve 1-dimensional Problems using the Partial Differential Equation (PDE) Toolbox?

Can I solve 1-dimensional Problems using the Partial Differential Equation (PDE) Toolbox?

Answer 1

[MathWorks Support Team]

One does not need the PDE toolbox to solve 1-D PDE problems. This can be done by a base MATLAB functionality called PDEPE. Following is the documentation link for PDEPE:-

https://in.mathworks.com/help/matlab/ref/pdepe.html

The aim of the PDE Toolbox is to solve of partial differential equations (PDEs) in two-space dimensions (2-D) and time. However, one may also solve a 1-D partial differential equation using the PDE toolbox if they:-

- use a rectangle geometry

- set the 1-D boundary conditions on the left and right side of the rectangle

- set Homogenous Neumann boundary conditions on the upper and lower sides

[Ravi Kumar]

Use pdepe, which does not require PDE Toolbox.