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A polynomial approximation of nonlinear algebraic equations of the mathematical physics

In the work on the basis of the ideas and results of V. K. Dzyadyk and V. L. Makarov high–exact numerical–analytical algorithms for solving algebraically–nonlinear equations of mathematical physics are constructed and theoretical grounded. Two mutually complemented algorithm (approximating without t...

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Bibliographic Details
Date:2016
Author Affiliations:
  • В. I. Бiленко — Нацiональний педагогiчний унiверситет iм. М.П. Драгоманова
  • К. В. Божонок — Нацiональний педагогiчний унiверситет iм. М.П. Драгоманова
  • С. Ю. Дзядик — Державний унiверситет телекомунiкацiй
  • О. Б. Стеля — Київський національний університет імені Тараса Шевченка
Keywords:keywords
Main Authors: Bilenko, V. I., Bojonok, К. V., Dzyadyk, S. Yu., Stelya, О. B., Биленко, В. И., Божонок, К. В., Дзядык, С. Ю., Стеля, О. Б., Бiленко, В. I., Дзядик, С. Ю.
Format: Article
Language:Ukrainian
Published: Інститут математики НАН України 2016
Online Access:https://trim.imath.kiev.ua/index.php/trim/article/view/30
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Journal Title:Transactions of Institute of Mathematics of NAS of Ukraine
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Transactions of Institute of Mathematics of NAS of Ukraine
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Summary:In the work on the basis of the ideas and results of V. K. Dzyadyk and V. L. Makarov high–exact numerical–analytical algorithms for solving algebraically–nonlinear equations of mathematical physics are constructed and theoretical grounded. Two mutually complemented algorithm (approximating without the satiation of exactness and spline–algorithm) for solving such equations are proposed. Using parabolic spline allowed to construct a monotone difference scheme for the equation of convection–diffusion. The results of computational experiments in the event of significant advantages over convection diffusion are considered.

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