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PDEFIT: A FORTRAN code for data fitting in partial differential equations. (English) Zbl 0920.65081

The author presents the FORTRAN computer program PDEFIT to estimate parameters in a system of one-dimensional partial differential equations. Using a method of lines, the partial differential equations are discretized and transformed into a set of ordinary differential equations that are solved then by standard ODE or DAE solvers.
Proceeding from given experimental data the distance of these measured data from the solution of the differential equations is to be minimized in different \(L\)-norms. Some examples are presented to prove the feasibility of the given approach.

MSC:

65Z05 Applications to the sciences
35R30 Inverse problems for PDEs
65M20 Method of lines for initial value and initial-boundary value problems involving PDEs
65K05 Numerical mathematical programming methods
35-04 Software, source code, etc. for problems pertaining to partial differential equations
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References:

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