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PDECOL, new computer software package for numerically solving coupled systems of nonlinear partial differential equations (PDE`s) in one space and one time dimension, is discussed.^The package implements finite element collocation methods based on piecewise polynomials for the spatial discretization techniques.^The time integration process is then accomplished by widely acceptable procedures that are generalizations of the usual methods for treating time-dependent partial differental equations.^PDECOL is unique because of its flexibiility both in the class of problems it addresses and in the variety of methods it provides for use in the solution process.^High-order methods (as well as low-order ones) are readily available for use in both the spatial and time discretization procedures.^The time integration methods used feature automatic time step size and integration formula order selection so as to solve efficiently the problem at hand and yet achieve a user-specific time integration error level.^PDECOL consists of a collection of 19 subroutines written in reasonably standard Fortran, and therefore is quite portable.^No special hardware features are required.^PDECOL is designed to solve broad classes of difficult systems of partial differential equations that descrobe physical processes.^4 figures, 1 table.^(RWR)

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