Legendre wavelet based numerical solution of variable latent heat moving boundary problem

DOI10.1016/j.matcom.2020.06.020OpenAlexW3039950826MaRDI QIDQ1998204

Yanyan Li

Publication date: 6 March 2021

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2020.06.020

zbMATH Keywords

moving boundary problemLegendre wavelet methodphase change materialpeclet numberStefan numbertemperature and time dependent thermal conductivity

Mathematics Subject Classification ID

Stefan problems, phase changes, etc. (80A22) Heat equation (35K05) Numerical methods for wavelets (65T60) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61) Moving boundary problems for PDEs (35R37)

Related Items (2)

Wavelet based numerical approach of non-classical moving boundary problem with convection effect and variable latent heat under the most generalized boundary conditions ⋮ A numerical study on non-Fourier heat conduction model of phase change problem with variable internal heat generation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Wavelet analysis method for solving linear and nonlinear singular boundary value problems
• Spectral methods using Legendre wavelets for nonlinear Klein/sine-Gordon equations
• Numerical solution for the weakly singular Fredholm integro-differential equations using Legendre multiwavelets
• Explicit solutions to the one-phase Stefan problem with temperature-dependent thermal conductivity and a convective term
• A meshless method for one-dimensional Stefan problems
• Application of Legendre wavelets for solving fractional differential equations
• Asymptotic expansion of solutions to the Black-Scholes equation arising from American option pricing near the expiry
• Legendre wavelet operational matrix method for solution of fractional order Riccati differential equation
• Numerical solution of a moving-boundary problem with variable latent heat
• Application of the finite element method for the analysis of nonsteady- state induction device problems with rotational symmetry
• Error estimates for a single-phase quasilinear Stefan problem in one space dimension
• Numerical solution of a non-classical two-phase Stefan problem via radial basis function (RBF) collocation methods
• An exact solution to a Stefan problem with variable thermal conductivity and a Robin boundary condition
• An enthalpy scheme for Stefan problems in several dimensions
• On the numerical solution of two-phase Stefan problems with heat-flux boundary conditions
• Heat balance integral methods applied to the one-phase Stefan problem with a convective boundary condition at the fixed face
• The method of approximate fundamental solutions (MAFS) for Stefan problems for the sphere
• Finite volume element approximation for nonlinear diffusion problems with degenerate diffusion coefficients
• An analytical solution for a Stefan problem with variable latent heat
• Legendre wavelet Galerkin method for solving ordinary differential equations with non-analytic solution
• The Legendre wavelets operational matrix of integration
• An adaptive wavelet space‐time SUPG method for hyperbolic conservation laws

This page was built for publication: Legendre wavelet based numerical solution of variable latent heat moving boundary problem