Feng, Libo; Turner, Ian; Perré, Patrick; Burrage, Kevin The use of a time-fractional transport model for performing computational homogenisation of 2D heterogeneous media exhibiting memory effects. (English) Zbl 07662519 J. Comput. Phys. 480, Article ID 112020, 24 p. (2023). MSC: 65Mxx 35Rxx 76Mxx PDF BibTeX XML Cite \textit{L. Feng} et al., J. Comput. Phys. 480, Article ID 112020, 24 p. (2023; Zbl 07662519) Full Text: DOI arXiv OpenURL
Castrillón Vásquez, A. J.; Lozano, L. F.; Pereira, W. S.; Cedro, J. B.; Chapiro, G. The traveling wavefront for foam flow in two-layer porous media. (English) Zbl 1502.76095 Comput. Geosci. 26, No. 6, 1549-1561 (2022). MSC: 76S05 76M10 76M20 76-10 PDF BibTeX XML Cite \textit{A. J. Castrillón Vásquez} et al., Comput. Geosci. 26, No. 6, 1549--1561 (2022; Zbl 1502.76095) Full Text: DOI OpenURL
Feng, Libo; Turner, Ian; Moroney, Timothy; Liu, Fawang An investigation of space distributed-order models for simulating anomalous transport in a binary medium. (English) Zbl 07576342 Appl. Math. Comput. 434, Article ID 127423, 16 p. (2022). MSC: 35Q49 PDF BibTeX XML Cite \textit{L. Feng} et al., Appl. Math. Comput. 434, Article ID 127423, 16 p. (2022; Zbl 07576342) Full Text: DOI OpenURL
Akel, Mohamed; Elshehabey, Hillal M.; Ahmed, Ragaa Generalized Laplace-type transform method for solving multilayer diffusion problems. (English) Zbl 1495.44001 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 1495.44001) 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
Farago, Oded Algorithms for Brownian dynamics across discontinuities. (English) Zbl 07508417 J. Comput. Phys. 423, Article ID 109802, 13 p. (2020). MSC: 74-XX 76-XX PDF BibTeX XML Cite \textit{O. Farago}, J. Comput. Phys. 423, Article ID 109802, 13 p. (2020; Zbl 07508417) Full Text: DOI arXiv 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