MATLAB: How to solve the fourth order PDE using PDEPE

2nd3rd4thboundaryconditiondifferentialellipticequationhyperbolicMATLABparabolicpartial

I have a 4th order PDE that I can split into smaller lower order PDE's. I know that PDEPE can handle second order equations. I would like to know if PDEPE is able to handle several second order equations which were created from a higher order equation.

Best Answer

PDEPE was designed specifically to solve first and second order parabolic-elliptic PDE's. It is possible that PDEPE may solve your higher order system after it has been transformed to multiple lower order equations. However, it may not be possible to determine ahead of time if it will be able to solve your system.
In general PDEPE does not support solving higher order equations although it may work in some cases.
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