Using free softwear for solving one problem of mathematical physics

The article presents the solution of Laplace equation with Dirichlet conditions using free software: computer mathematics systems Maxima, Scilab, GNU Octave and general-purpose programming language Python. The algorithm for solving Laplace difference equation with Dirichlet conditions is realized by using the iterative method of successive over-relaxation and helps to obtain the solution in the form of a two-dimensional array of values and 3D-graphs. The resulting solution in the form of a two-dimensional array is compared with the test values. The resulting array was found to match the test values. The choice of a free software depends on the type of task and on personal preferences.