Numerical solution of one-phase Stefan problems by the heat balance integral method, Part II?special small time starting procedure

DOI<link itemprop=identifier href="https://doi.org/10.1002/1099-0887(200008)16:8<585::AID-CNM363>3.0.CO;2-7" /><585::AID-CNM363>3.0.CO;2-7 10.1002/1099-0887(200008)16:8<585::AID-CNM363>3.0.CO;2-7zbMath0964.65110OpenAlexW2029437638MaRDI QIDQ4507501

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Publication date: 19 July 2001

Full work available at URL: https://doi.org/10.1002/1099-0887(200008)16:8<585::aid-cnm363>3.0.co;2-7

zbMATH Keywords

convergence numerical results heat balance integral method one-phase Stefan problems starting procedure cylindrical and pherical geometries

Mathematics Subject Classification ID

Stefan problems, phase changes, etc. (80A22) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Free boundary problems for PDEs (35R35) Initial value problems for second-order parabolic equations (35K15)

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The method of approximate fundamental solutions (MAFS) for Stefan problems for the sphere ⋮ Numerical solutions of Stefan problem in annuli by enthalpy method and heat balance integral method ⋮ An accurate numerical solution for the transient heating of an evaporating spherical droplet ⋮ A meshless method for one-dimensional Stefan problems ⋮ Exponential numerical methods for one-dimensional one-phase Stefan problems ⋮ Finite-difference methods with increased accuracy and correct initialization for one-dimensional Stefan problems ⋮ Numerical methods for one-dimensional Stefan problems ⋮ Numerical difference solution of moving boundary random Stefan problems

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