method-of-lines topic
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method-of-lines repositories
finitediff
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Finite difference weights for any derivative order on arbitrarily spaced grids. C89, C++ and Fortran 90 implementations with Python bindings.
SkeelBerzins.jl
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Solver for 1D nonlinear partial differential equations in Julia based on the collocation method of Skeel and Berzins and using an API similar to MATLAB's pdepe