Numerical approximation of the one-dimensional inverse Cauchy–Stefan problem using heat polynomials methods

Author:

Kassabek Samat A.ORCID,Suragan Durvudkhan

Funder

Ministry of Education and Science of the Republic of Kazakhstan

Nazarbayev University

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics

Reference32 articles.

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2. Appell P (1892) Sur l’équation $$\partial ^{2} z / \partial x^{2}-\partial z / \partial y=0$$ et la théorie de la chaleur. J Math Pures Appl 8:187–216

3. Cannon JR, Douglas J Jr (1967) The Cauchy problem for the heat equation. SIAM J Numer Anal 4:317–336

4. Cialkowski MJ, Grysa K (2010) Trefftz method in solving the inverse problems. J Inv Ill-Posed Probl 18(6):595–616

5. Futakiewicz S, Hozejowski L (1998) Heat polynomials method in solving the direct and inverse heat conduction problems in a cylindrical system of coordinates, Transactions on Engineering Sciences vol. 20, WIT Press, www.witpress.com, ISSN pp 1743–3533

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