Approximate analytical solution for transient heat and mass transfer across an irregular interface

DOI10.1016/j.cnsns.2021.106211OpenAlexW3165448857MaRDI QIDQ2076239

Dylan J. Oliver, Elliot J. Carr, Matthew J. Simpson

Publication date: 16 February 2022

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.10116

zbMATH Keywords

diffusionperturbationinterfacesemi-analytical

Mathematics Subject Classification ID

Dynamical problems in solid mechanics (74Hxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Asymptotic theory for ordinary differential equations (34Exx)

Related Items (1)

Mean exit time in irregularly-shaped annular and composite disc domains

Uses Software

• Gmsh

Cites Work

• Fokas transform method for a brain tumor invasion model with heterogeneous diffusion in 1+1 dimensions
• Solution of multilayer diffusion problems via the Laplace transform
• Analytical and numerical solutions of a one-dimensional fractional-in-space diffusion equation in a composite medium
• Critical times in multilayer diffusion. I: Exact solutions
• Generalized semi-analytical solution for coupled multispecies advection-dispersion equations in multilayer porous media
• A semi-analytical solution for multilayer diffusion in a composite medium consisting of a large number of layers
• Talbot quadratures and rational approximations
• Introduction to Perturbation Methods
• Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities
• Heat Conduction

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