Two-phase inverse Stefan problems solved by heat polynomials method
Kassabek S.A. Suragan D.
15 March 2023Elsevier B.V.
Journal of Computational and Applied Mathematics
2023#421
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.
Approximate solution , Electrical contact phenomena , Heat polynomials method , Moving boundary , Two-phase inverse Stefan problems
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Nazarbayev University, Department of Mathematics, Nur-Sultan, Kazakhstan
Nazarbayev University
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