Open AccessUsing free softwear for solving one problem of mathematical physics
Author(s) -
Aleksandra Martianova
Publication year - 2020
Publication title -
vestnik astrahanskogo gosudarstvennogo tehničeskogo universiteta. seriâ: upravlenie, vyčislitelʹnaâ tehnika i informatika
Language(s) - English
Resource type - Journals
eISSN - 2224-9761
pISSN - 2072-9502
DOI - 10.24143/2072-9502-2020-1-84-93
Subject(s) - python (programming language) , laplace transform , laplace's equation , computer science , dirichlet distribution , software , mathematics , relaxation (psychology) , personal computer , mathematical optimization , algorithm , mathematical analysis , programming language , partial differential equation , boundary value problem , psychology , social psychology , computer hardware
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.