Two-phase inverse Stefan problems solved by heat polynomials method
From MaRDI portal
Publication:2095161
DOI10.1016/j.cam.2022.114854zbMath1498.80009OpenAlexW4298009498MaRDI QIDQ2095161
Samat A. Kassabek, Durvudkhan Suragan
Publication date: 9 November 2022
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2022.114854
moving boundaryapproximate solutionelectrical contact phenomenaheat polynomials methodtwo-phase inverse Stefan problems
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
Cites Work
- Application of meshfree methods for solving the inverse one-dimensional Stefan problem
- 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
- Series expansions of solutions of the heat equation in \(n\) dimensions
- 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
- Exact solution for a two-phase Stefan problem with power-type latent heat
- The solution of two-phase inverse Stefan problem based on a hybrid method with optimization
- Numerical approximation of the one-dimensional inverse Cauchy-Stefan problem using heat polynomials methods
- A meshless method for an inverse two-phase one-dimensional nonlinear Stefan problem
- One-phase inverse Stefan problem solved by Adomian decomposition method
- \(L^ 2\) expansions in terms of generalized heat polynomials and of their Appell transforms
- Expansion in series of homogeneous temperature functions of the first and second kinds
- Trefftz method in solving the inverse problems
- Expansions in Terms of Heat Polynomials and Associated Functions
- Analysis of Discrete Ill-Posed Problems by Means of the L-Curve
- Regularization of an inverse two-phase Stefan problem
- 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
- A meshless method for an inverse two-phase one-dimensional linear Stefan problem
- The Radial Heat Polynomials and Related Functions
- The Cauchy Problem for the Heat Equation
- Classical Analysis and the Generalized Heat Equation
- The Role of the Appell Transformation in the Theory of Heat Conduction
- A heat polynomial method for inverse cylindrical one-phase Stefan problems
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item