Akel, Mohamed; Elshehabey, Hillal M.; Ahmed, Ragaa Generalized Laplace-type transform method for solving multilayer diffusion problems. (English) Zbl 07500974 J. Funct. Spaces 2022, Article ID 2304219, 20 p. (2022). MSC: 44A10 35K20 PDF BibTeX XML Cite \textit{M. Akel} et al., J. Funct. Spaces 2022, Article ID 2304219, 20 p. (2022; Zbl 07500974) Full Text: DOI OpenURL
Carr, Elliot J.; Oliver, Dylan J.; Simpson, Matthew J. Approximate analytical solution for transient heat and mass transfer across an irregular interface. (English) Zbl 07474622 Commun. Nonlinear Sci. Numer. Simul. 108, Article ID 106211, 12 p. (2022). MSC: 65Mxx 34Exx 74Hxx PDF BibTeX XML Cite \textit{E. J. Carr} et al., Commun. Nonlinear Sci. Numer. Simul. 108, Article ID 106211, 12 p. (2022; Zbl 07474622) Full Text: DOI arXiv OpenURL
Carr, Elliot J. Generalized semi-analytical solution for coupled multispecies advection-dispersion equations in multilayer porous media. (English) Zbl 1481.76207 Appl. Math. Modelling 94, 87-97 (2021). MSC: 76S05 PDF BibTeX XML Cite \textit{E. J. Carr}, Appl. Math. Modelling 94, 87--97 (2021; Zbl 1481.76207) Full Text: DOI arXiv OpenURL
March, Nathan G.; Carr, Elliot J.; Turner, Ian W. A fast algorithm for semi-analytically solving the homogenization boundary value problem for block locally-isotropic heterogeneous media. (English) Zbl 1481.74636 Appl. Math. Modelling 92, 23-43 (2021). MSC: 74Q05 35B27 35Q74 PDF BibTeX XML Cite \textit{N. G. March} et al., Appl. Math. Modelling 92, 23--43 (2021; Zbl 1481.74636) Full Text: DOI arXiv OpenURL
Feng, Libo; Turner, Ian; Perré, Patrick; Burrage, Kevin An investigation of nonlinear time-fractional anomalous diffusion models for simulating transport processes in heterogeneous binary media. (English) Zbl 1452.76227 Commun. Nonlinear Sci. Numer. Simul. 92, Article ID 105454, 22 p. (2021). MSC: 76R50 76M20 26A33 PDF BibTeX XML Cite \textit{L. Feng} et al., Commun. Nonlinear Sci. Numer. Simul. 92, Article ID 105454, 22 p. (2021; Zbl 1452.76227) Full Text: DOI OpenURL
Chen, Shanzhen; Liu, Fawang; Turner, Ian; Hu, Xiuling Numerical inversion of the fractional derivative index and surface thermal flux for an anomalous heat conduction model in a multi-layer medium. (English) Zbl 1480.35389 Appl. Math. Modelling 59, 514-526 (2018). MSC: 35R11 35R05 65M32 PDF BibTeX XML Cite \textit{S. Chen} et al., Appl. Math. Modelling 59, 514--526 (2018; Zbl 1480.35389) Full Text: DOI Link OpenURL
Carr, Elliot J.; March, Nathan G. Semi-analytical solution of multilayer diffusion problems with time-varying boundary conditions and general interface conditions. (English) Zbl 1427.35106 Appl. Math. Comput. 333, 286-303 (2018). MSC: 35K51 PDF BibTeX XML Cite \textit{E. J. Carr} and \textit{N. G. March}, Appl. Math. Comput. 333, 286--303 (2018; Zbl 1427.35106) Full Text: DOI arXiv OpenURL