Solver for one-dimensional parabolic and elliptic nonlinear partial differential equations.
This package is based on the spatial discretization for the method of lines introduced by Skeel and Berzins in [1] and provides an API similar to MATLAB's pdepe. For transient problems, the time discretization is performed either by the implicit Euler method (internal method) or by using an ODE/DAE solver from the DifferentialEquations.jl package.
The Julia version must be greater than or equal to 1.6. More information about downloading Julia can be found here.
To install the package, use one of the following commands:
1. From the REPL:
julia> using Pkg
julia> Pkg.add("SkeelBerzins")
2. From the Pkg mode
julia> ]
(@v1.6) pkg> add SkeelBerzins
[1] Skeel, Robert D. and Berzins, Martin, "A Method for the Spatial Discretization of Parabolic Equations in One Space Variable", SIAM Journal on Scientific and Statistical Computing, Vol. 11, 1990, pp.1–32.