ANALYTICAL AND NUMERICAL METHODS FOR SOLVING THE HEAT EQUATION

Authors

  • A.M. Osmonkanov KSTU named of I. Razzakov Author
  • N.T. Asankozhoeva KSTU named of I. Razzakov Author

Keywords:

sweep method, systems of linear algebraic equations, heat conduction equations, differential equation, finite difference method, temperature field, boundary conditions

Abstract

This article compares the methods for solving the heat equation. The solution by the analytical method is considered in detail, and the numerical solution of the heat equation is analyzed. To solve the heat equation, the finite difference method was used and a Java program was compiled.

References

1. Березин И.С., Жидков Н.П. Методы вычислений. - М.: Наука, 1960, - 524 с.;

2. Самарский А.А. Теория разностных схем. - М.:Наука, 1983 – 726 с.

3. Тихонов А.Н., Самарский А.А., Уравнения математической физики, Физматлит, Москва, 1966. – 735 с.;

4. Кудинов В. А., Кудинов И. В. Методы решения уравнений теплопроводности. Самара, 2012. 280 с.

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Published

2026-03-19

Issue

Vol. 50 No. 4 (2022): СОВРЕМЕННЫЕ ПРОБЛЕМЫ МЕХАНИКИ

Section

Статьи

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