BIR O‘LCHOVLI STEFAN MASALASI

Authors

  • D.Sh Jo‘rayeva National University of Uzbekistan, Tashkent
  • D.I Yarmetova National University of Uzbekistan , Tashkent

Keywords:

soil, phase, freezing temperature, thermal conductivity.

Abstract

Now we will construct the simplest form of mathematical model describing phase transitions. The classic Stefan problem is a solidification and melting problem, such as the transition between ice and water.  To obtain a solution to the classical Stefan problem, the heat equation must be solved.  As mentioned above, it is needed to obtain a unique solution. It is called the variable “Stefan condition” and  given below.

References

Tobias Jonsson On the one dimensional Stefan problem with some numerical analysis Spring 2013-10-15

D. Andreucci. Lecture notes on the Stefan problem. 2002.

F. Morgan. Real Analysis and Applications. American Mathematical Society, Providence, Rhode Island, 2005.

S.L. Mitchell and M. Vynnycky. Finite-difference methods with increased accuracy and correct initialization for one-dimensional Stefan problems. Applied Mathematics and Computation 215 1609-1621, 2009.

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Published

2023-04-30

How to Cite

Jo‘rayeva , D., & Yarmetova , D. (2023). BIR O‘LCHOVLI STEFAN MASALASI. Educational Research in Universal Sciences, 2(4), 452–456. Retrieved from http://erus.uz/index.php/er/article/view/2175