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This article is cited in 1 scientific paper (total 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.
Received: 21.11.2019
Citation:
A. E. Martianova, “Using free softwear for solving one problem of mathematical physics”, Vestn. Astrakhan State Technical Univ. Ser. Management, Computer Sciences and Informatics, 2020, no. 1, 84–93
Linking options:
https://www.mathnet.ru/eng/vagtu619 https://www.mathnet.ru/eng/vagtu/y2020/i1/p84
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Abstract page: | 240 | Full-text PDF : | 259 | References: | 12 |
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