
Chebyshev Polynomial Software for EllipticParabolic Systems of P.D.E.s
M. Berzins, P.M. Dew.
In A.C.M. Transactions on Mathematical Software, Vol. 17, No. 2, pp. 178206. June, 1991.
PDECHEB is a FORTRAN 77 software package that semidiscretizes a wide range of time dependent partial differential equations in one space variable. The software implements a family of spatial discretization formulas, based on piecewise Chebyshev polynomial expansions with C^{0} continuity. The package has been designed to be used in conjunction with a general integrator for initial value problems to provide a powerful software tool for the solution of parabolicelliptic PDEs with coupled differential algebraic equations. Examples are provided to illustrate the use of the package with the DASSL d.a.e, integrator of Petzold [18].
