The output from DifferentialEquation.jl simulations is a structure of interpolation functions. Does MATLAB support such structures in *.mat files? And can MATLAB understand the resulting interpolation functions? [I haven’t used MATLAB in ages…]
If MATLAB does not support the interpolation structures of DifferentialEquation.jl, you will have to convert the structures to matrices of data before saving them into *.mat files. This is pretty straighttforward.