What Can FlexPDE Do?

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What Can FlexPDE Do?

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FlexPDE can solve systems of first or second order partial differential equations in one, two or three-dimensional Cartesian geometry, in one-dimensional spherical or cylindrical geometry, or in axi-symmetric two-dimensional geometry.  (Other geometries can be supported by including the proper terms in the PDE.)


The system may be steady-state or time-dependent, or alternatively FlexPDE can solve eigenvalue problems.  Steady-state and time-dependent equations can be mixed in a single problem.


Any number of simultaneous equations can be solved, subject to the limitations of the computer on which FlexPDE is run.


The equations can be linear or nonlinear.  (FlexPDE automatically applies a modified Newton-Raphson iteration process in nonlinear systems.)


Any number of regions of different material properties may be defined.


Modeled variables are assumed to be continuous across material interfaces.  Jump conditions on derivatives follow from the statement of the PDE system. (CONTACT boundary conditions can handle discontinuous variables.)


FlexPDE can be extremely easy to use, and this feature recommends it for use in education. But FlexPDE is not a toy.  By full use of its power, it can be applied successfully to extremely difficult problems.