Hybrids of the heat balance integral method

DOI10.1016/j.amc.2012.01.001zbMath1245.65137OpenAlexW2125249580MaRDI QIDQ433287

J. V. Johnson, Olawanle P. Layeni

Publication date: 13 July 2012

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2012.01.001

zbMATH Keywords

momentsStefan problemHermite interpolationsplicingheat balance integral method

Mathematics Subject Classification ID

Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (8)

Analytical solution to transient convection-diffusion equation for reaction at rotating disk electrode using novel hybrid integral balance-collocation method ⋮ The effect of magnetic field on perturbation evolution in homogeneously sheared flows ⋮ Integral-balance method with transmuted profiles: concept, examples, and emerging problems ⋮ Calculating magnetohydrodynamic flow spectra ⋮ Optimising the heat balance integral method in spherical and cylindrical Stefan problems ⋮ Implementation of the CIP algorithm to magnetohydrodynamic simulations ⋮ SLAU2 applied to two-dimensional, ideal magnetohydrodynamics simulations ⋮ Shear flow instabilities in shallow-water magnetohydrodynamics

Cites Work

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• Constrained integral method for solving moving boundary problems
• An exponential heat balance integral method
• Optimal exponent heat balance and refined integral methods applied to Stefan problems
• Applying the combined integral method to one-dimensional ablation
• Application of Standard and Refined Heat Balance Integral Methods to One-Dimensional Stefan Problems
• Application of Integral Methods to Transient Nonlinear Heat Transfer

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