The algorythm constructing of Dirichlet problem solution for Poisson equation in spherical domains

Authors

  • A. T. Dudykevych Lviv National University named after Ivan Franko
  • A. I. Kardash Lviv National University named after Ivan Franko
  • S. M. Levytska Lviv National University named after Ivan Franko

Abstract

Boundary value Dirichlet problem for Poisson equation in the case of spherical coordinate system is solved by the method of finite differences. Difference scheme and appropriate algorithm for its realization is considered in the paper.

Author Biographies

A. T. Dudykevych, Lviv National University named after Ivan Franko

доцент, кафедра обчислювальної математики

A. I. Kardash, Lviv National University named after Ivan Franko

доцент, кафедра програмування

S. M. Levytska, Lviv National University named after Ivan Franko

старший викладач, кафедра програмування

References

1. Самарский А. А. Разностные методы для эллиптических уравнений / А. А. Самарский, В. Б. Андреев. — М. : Наука,
1976. — 246 с.
2. Дудикевич А. Т. Чисельне розв’язування плоскої та осесиметричної задачі Діріхле для рівняння Пуассона у випадку
складних областей / А. Т. Дудикевич, Л. І. Підківка. — Львів : Видавничий центр ЛНУ імені Івана Франка, 2001. — 101 с.
3. Самарский А.А. Теория разностных схем / А.А.Самарский. — М. : Наука, 1977. — 656 с.
4. Шахно С. М. Чисельні методи лінійної алгебри / С. М. Шахно. — Львів : Видавничий центр ЛНУ імені Івана Франка,
2007. — 245 с.

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How to Cite

[1]
A. T. Dudykevych, A. I. Kardash, and S. M. Levytska, “The algorythm constructing of Dirichlet problem solution for Poisson equation in spherical domains”, Вісник ВПІ, no. 2, pp. 96–100, Apr. 2013.

Issue

No 2 (2013)

Section

Information technologies and computer sciences

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