This article is cited in 1 paper

INFORMATION TECHNOLOGIES IN EDUCATIONAL ACTIVITY

Using free softwear for solving one problem of mathematical physics

A. E. Martianova

Astrakhan State Technical University, Astrakhan, Russian Federation

Abstract: 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.

Keywords: free software, computer mathematics systems, Laplace equation, Dirichlet problem, finite-difference method, programming language, boundary conditions, method of successive over-relaxation.

UDC: 004:378.147+519.632.4

Received: 21.11.2019

DOI: 10.24143/2072-9502-2020-1-84-93