A heat polynomial method for inverse cylindrical one-phase Stefan problems

DOI10.1080/17415977.2021.2000977OpenAlexW3215295086MaRDI QIDQ5861352

Samat A. Kassabek, Durvudkhan Suragan, Stanislav N. Kharin

Publication date: 4 March 2022

Published in: Inverse Problems in Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17415977.2021.2000977

zbMATH Keywords

approximate solutioninverse Stefan problemsheat polynomialsheat flux function

Mathematics Subject Classification ID

Stefan problems, phase changes, etc. (80A22) Inverse problems in thermodynamics and heat transfer (80A23) Polynomial solutions to PDEs (35C11) Variational methods applied to problems in thermodynamics and heat transfer (80M30)

Related Items (4)

Numerical approximation of the one-dimensional inverse Cauchy-Stefan problem using heat polynomials methods ⋮ Identification of the boundary mode in one thermal problem based on the single-phase Stefan model ⋮ A heat polynomials method for the two-phase inverse Stefan problem ⋮ Two-phase inverse Stefan problems solved by heat polynomials method

Cites Work

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• A boundary residual method with heat polynomials for solving unsteady heat conduction problems
• A method of fundamental solutions for the one-dimensional inverse Stefan problem
• On the refined integral method for the one-phase Stefan problem with time-dependent boundary conditions
• A method for the numerical solution of the one-dimensional inverse Stefan problem
• On generalized heat polynomials
• Analytic solutions of the heat equation
• A new look at the heat balance integral method
• On the perturbation method for the Stefan problem with time-dependent boundary conditions
• An inverse Stefan problem: Identification of boundary value
• Perturbation solution for solidification of pure metals on a sinusoidal mold surface
• One-phase inverse Stefan problem solved by Adomian decomposition method
• On the convergence of the heat balance integral method
• Numerical approximation of the one-dimensional inverse Cauchy–Stefan problem using a method of fundamental solutions
• Expansions in Terms of Heat Polynomials and Associated Functions
• Analysis of Discrete Ill-Posed Problems by Means of the L-Curve
• Method of the integral error functions for the solution of the one- and two-phase Stefan problems and its application
• Exact solution of the one phase inverse Stefan problem
• Series Representation of Generalized Temperature Functions

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