Methods for data reduction of spectral data of the H-alpha line from Fabry-Perot observations with the CIGALE instrument of blue compact galaxies (BCGs) are developed. Velocity fields describing the dynamics of BCGs are created by converting redshifts of the H-alpha line (determined by fitting one or two Gaussian functions to each spectrum) to velocities for all measured points. Methods for extraction of position-velocity diagrams and slit rotation curves from velocity fields are created for a one dimensional description of the dynamics of a galaxy. A framework for creating synthetic velocity fields based on simple models is created. This framework is used to develop routines for fitting models of galaxy dynamics to BCGs for a two-dimensional description of the dynamics of the galaxies. Finally a tilted ring model is developed with the purpose of testing if rotation curves for BCGs can be extracted in the same way as for spiral galaxies.