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SPSMAT (Spectral/Pseudospectral matrix method) is an add-on for Octave, thathelps you solve nonfractional-/fractional ordinary/partialdifferential/integral equations. In this version, as the first version, thewell-defined spectral or pseudospectral algorithms are considered to solvedifferential and integral equations. The motivation is that there are fewsoftware packages available that make such methods easy to use forpractitioners in the field of scientific computing. Additionally, one of themost practical platforms in computation, MATLAB, is currently not supportingbeneficial and free numerical method for the solution of differentialequations--to the best author's knowledge. To remedy this situation, this paperprovides a description of its relevant uploaded open source software packageand is a broad guidance to describe how to work with this toolbox.

SPSMAT: GNU Octave software package for spectral and pseudospectral methods