Exact solution of the one phase inverse Stefan problem-Reference-Cited by-同舟云学术

Exact solution of the one phase inverse Stefan problem

Published:2018 Issue:3 Volume:32 Page:985-990
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Sarsengeldin Merey¹,Kharin Stanislav²,Kassabek Samat³,Mukambetkazin Zamanbek⁴

Affiliation:

1. Satbayev University, Sigma LABS, Almaty, Kazakhstan + Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan

2. Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan + Kazakh-British Technical University, Almaty, Kazakhstan

3. Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan

4. cInstitute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan

Abstract

Exact solution of inverse one phase Stefan problem is represented in the form of linear combination of integral error functions. Heat flux function is reconstructed and coefficients of solution function are found exactly. Test problem was considered for engineering purposes and it was shown that by collocation method the error for three points does not exceed 0:01%. Error estimate was calculated by maximum principle.

Publisher

National Library of Serbia

Subject

General Mathematics

Cited by 4 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Analytical solution of Stefan-type problems;Journal of Inverse and Ill-posed Problems;2024-01-02

2. Two-phase inverse Stefan problems solved by heat polynomials method;Journal of Computational and Applied Mathematics;2023-03

3. A machine learning approach for solving inverse Stefan problem;INT J NONLINEAR ANAL;2022

4. A heat polynomial method for inverse cylindrical one-phase Stefan problems;Inverse Problems in Science and Engineering;2021-11-16