Application of the combined integral method to Stefan problems
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Publication:646191
DOI10.1016/j.apm.2011.02.049zbMath1225.35260OpenAlexW2044861223MaRDI QIDQ646191
Publication date: 11 November 2011
Published in: Applied Mathematical Modelling (Search for Journal in Brave)
Full work available at URL: http://ddd.uab.cat/record/76069
Stefan problems, phase changes, etc. (80A22) Heat equation (35K05) Free boundary problems for PDEs (35R35) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99)
Related Items (14)
Approximate solution techniques for the sorption of a finite amount of swelling solvent in a glassy polymer ⋮ An accurate application of the integral method applied to the diffusion of oxygen in absorbing tissue ⋮ Mathematical Modelling of Phase Change with a Flowing Thin Film ⋮ Analytical solution to transient convection-diffusion equation for reaction at rotating disk electrode using novel hybrid integral balance-collocation method ⋮ The method of approximate fundamental solutions (MAFS) for Stefan problems for the sphere ⋮ On the numerical solution of a class of variable coefficients parabolic moving boundary problems ⋮ Applying the combined integral method to one-dimensional ablation ⋮ Hybrids of the heat balance integral method ⋮ Application of heat balance integral methods to one-dimensional phase change problems ⋮ Asymptotic analysis of a two-phase Stefan problem in annulus: application to outward solidification in phase change materials ⋮ Asymptotic, numerical and approximate techniques for a free boundary problem arising in the diffusion of glassy polymers ⋮ Optimising the heat balance integral method in spherical and cylindrical Stefan problems ⋮ Applying the combined integral method to two-phase Stefan problems with delayed onset of phase change ⋮ A sharp numerical method for the simulation of Stefan problems with convective effects
Cites Work
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- An approximate solution method for boundary layer flow of a power law fluid over a flat plate
- Improving the accuracy of heat balance integral methods applied to thermal problems with time dependent boundary conditions
- On the refined integral method for the one-phase Stefan problem with time-dependent boundary conditions
- Finite-difference methods with increased accuracy and correct initialization for one-dimensional Stefan problems
- Constrained integral method for solving moving boundary problems
- The double-diffusivity heat transfer model for grain stores incorporating microwave heating
- Optimal exponent heat balance and refined integral methods applied to Stefan problems
- Free Boundary Problems in Controlled Release Pharmaceuticals. I: Diffusion in Glassy Polymers
- Asymptotic results for the Stefan problem with kinetic undercooling
- Application of Standard and Refined Heat Balance Integral Methods to One-Dimensional Stefan Problems
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