TY - JOUR
T1 - Two-phase inverse Stefan problems solved by heat polynomials method
AU - Kassabek, Samat A.
AU - Suragan, Durvudkhan
N1 - Funding Information:
The authors were supported by the Nazarbayev University Program091019CRP2120 “Centre for Interdisciplinary Studies in Mathematics (CISM)” and by the grant AP09258948 ”A free boundary problems in mathematical models of electrical contact phenomena”.
Funding Information:
The authors were supported by the Nazarbayev University Program 091019CRP2120 “Centre for Interdisciplinary Studies in Mathematics (CISM)” and by the grant AP09258948 ”A free boundary problems in mathematical models of electrical contact phenomena”.
Publisher Copyright:
© 2022 Elsevier B.V.
PY - 2023/3/15
Y1 - 2023/3/15
N2 - In this paper, two-phase inverse Stefan problem are investigated using the method of heat polynomials. The approximate solution of the problem is presented in the form of linear combination of heat polynomials. We present numerical results illustrating an application of the heat polynomials method for typical benchmark test examples. Due to ill-posedness of the problem, the regularization will be taken into account. Numerical results are discussed and compared with results obtained by another method.
AB - In this paper, two-phase inverse Stefan problem are investigated using the method of heat polynomials. The approximate solution of the problem is presented in the form of linear combination of heat polynomials. We present numerical results illustrating an application of the heat polynomials method for typical benchmark test examples. Due to ill-posedness of the problem, the regularization will be taken into account. Numerical results are discussed and compared with results obtained by another method.
KW - Approximate solution
KW - Electrical contact phenomena
KW - Heat polynomials method
KW - Moving boundary
KW - Two-phase inverse Stefan problems
UR - http://www.scopus.com/inward/record.url?scp=85139357750&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85139357750&partnerID=8YFLogxK
U2 - 10.1016/j.cam.2022.114854
DO - 10.1016/j.cam.2022.114854
M3 - Article
AN - SCOPUS:85139357750
SN - 0377-0427
VL - 421
JO - Journal of Computational and Applied Mathematics
JF - Journal of Computational and Applied Mathematics
M1 - 114854
ER -