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Applicable Analysis
An International Journal
Volume 86, 2007 - Issue 1
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Original Articles

Memory effects and random walks in reaction-transport systems

J. A. Ferreira Department of Mathematics, University of Coimbra, PortugalCorrespondence[email protected]
&
P. De Oliveira Department of Mathematics, University of Coimbra, Portugal
Pages 99-118 | Received 06 Mar 2006, Accepted 10 Nov 2006, Published online: 10 Apr 2007

Citations (19)

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J.A. Ferreira & P. de Oliveira. (2008) Qualitative analysis of a delayed non-Fickian model. Applicable Analysis 87:8, pages 873-886.
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Articles from other publishers (18)

Lalit Kumar, Sivaji Ganesh Sista & Konijeti Sreenadh. (2024) A linearized L2-1 Galerkin FEM for Kirchhoff type quasilinear subdiffusion equation with memory . Communications in Nonlinear Science and Numerical Simulation, pages 108027.
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Lalit Kumar, Sivaji Ganesh Sista & Konijeti Sreenadh. (2023) Finite element analysis of time‐fractional integro‐differential equation of Kirchhoff type for non‐homogeneous materials. Mathematical Methods in the Applied Sciences 47:4, pages 2120-2153.
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Lalit Kumar, Sivaji Ganesh Sista & Konijeti Sreenadh. (2023) A Linearized L1-Galerkin FEM for Non-smooth Solutions of Kirchhoff Type Quasilinear Time-Fractional Integro-Differential Equation. Journal of Scientific Computing 96:2.
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Binglin Li, Yuliang Su & Mingjing Lu. (2022) Study on the Temporal and Spatial Multiscale Coupling Flow of Shale Oil. Processes 10:5, pages 939.
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Binglin Li, Yuliang Su, Xianwen Li, Wendong Wang, Maen M. Husein & Roberto Aguilera. (2019) Temporal scale analysis of shale gas dynamic coupling flow. Fuel 239, pages 587-600.
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Okey Oseloka Onyejekwe. (2016) Localized Boundary-Domain Integro-partial Differential Formulations for Transient Scalar Transport Problems. International Journal of Applied and Computational Mathematics 3:3, pages 2189-2204.
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J.A. Ferreira, G. Pena & G. Romanazzi. (2016) Anomalous diffusion in porous media. Applied Mathematical Modelling 40:3, pages 1850-1862.
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Okey Oseloka Onyejekwe. (2016) A Domain-Boundary Integral Treatment of Transient Scalar Transport with Memory. Applied Mathematics 07:11, pages 1241-1247.
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José A. Ferreira & Gonçalo Pena. (2015) Nonfickian effect in time and space for diffusion processes. Numerical Methods for Partial Differential Equations 31:5, pages 1589-1602.
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S. Barbeiro, S.Gh. Bardeji & J.A. Ferreira. (2013) Laplace transform – Finite element method for non Fickian flows. Computer Methods in Applied Mechanics and Engineering 261-262, pages 16-23.
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J.A. Ferreira, L. Pinto & G. Romanazzi. (2012) Supraconvergence and supercloseness in Volterra equations. Applied Numerical Mathematics 62:12, pages 1718-1739.
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J.A. Ferreira, P. de Oliveira & P.M. Silva. (2012) Reaction–diffusion in viscoelastic materials. Journal of Computational and Applied Mathematics 236:15, pages 3783-3795.
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José Augusto Ferreira, Paula de Oliveira & Pascoal da Silva. (2012) Analytics and numerics of drug release tracking. Journal of Computational and Applied Mathematics 236:15, pages 3572-3583.
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S. Barbeiro, J.A. Ferreira & L. Pinto. (2011) -second order convergent estimates for non-Fickian models. Applied Numerical Mathematics 61:2, pages 201-215.
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J.R. Branco, J.A. Ferreira & P. da Silva. (2010) Non-Fickian delay reaction–diffusion equations: Theoretical and numerical study. Applied Numerical Mathematics 60:5, pages 531-549.
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José Augusto Ferreira & Paula de Oliveira. 2010. Advances in Mathematical Fluid Mechanics. Advances in Mathematical Fluid Mechanics 229 251 .
S. Barbeiro & J.A. Ferreira. (2009) Coupled vehicle–skin models for drug release. Computer Methods in Applied Mechanics and Engineering 198:27-29, pages 2078-2086.
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A. Araújo, J.R. Branco & J.A. Ferreira. (2009) On the stability of a class of splitting methods for integro-differential equations. Applied Numerical Mathematics 59:3-4, pages 436-453.
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