how to solve system of nonlinear PDE

how can i solve following system of PDE with matlab : 1-first equation:dx1/dt=-0.1dx1/dz-10^6*x1*exp(-11250/1.986*x2) 2-second equation : dx2/dt=-0.1dx2/dz+4.25*10^9*x1*exp(-11250/1.986*x2)+0.2*(340-x2)

[Azzi Abdelmalek]

dx/dt or dx/dz or both ?

Answer 1

[Sachin Ganjare]

You can use 'pdenonlin' function.

Refer link below:

http://www.mathworks.in/help/pde/ug/pdenonlin.html

Hope it helps!!

[Deepak Ramaswamy]

Hi,

Looks like the commenter's equation is 1-D in the "z" dimension. Therefore pdepe() seems more appropriate. Generally speaking, pdenonlin() that is available via the PDE Toolbox, is for problems described over 2-D geometry although clearly it can be used for 1-D in space problems as well (by extending geometry to 2-D).

Deepak