Numerical investigation of memory-based diffusivity equation: the integro-differential equation

DOI10.1007/s13369-016-2170-yzbMath1448.65191OpenAlexW2348008309WikidataQ115375897 ScholiaQ115375897MaRDI QIDQ1639384

M. Enamul Hossain

Publication date: 12 June 2018

Published in: Arabian Journal for Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13369-016-2170-y

zbMATH Keywords

integral equationnumerical modelingmathematical modelpermeability and porosity variationsreservoir rock and fluid

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integro-partial differential equations (45K05) Flows in porous media; filtration; seepage (76S05) Fractional derivatives and integrals (26A33) Finite difference methods for boundary value problems involving PDEs (65N06) Fractional partial differential equations (35R11) Integro-partial differential equations (35R09)

Related Items (2)

Spectral methods for solving integro-differential equations and bibiliometric analysis ⋮ Modelling of fluid flow through porous media using memory approach: a review

Cites Work

• Fractional calculus for scientists and engineers.
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• Nonequilibrium statistical mechanical derivation of a nonlocal Darcy's law for unsaturated/saturated flow
• Slow dynamics under gravity: a nonlinear diffusion model
• Time-fractional Diffusion of Distributed Order
• The fractional diffusion equation
• Deposition of inertia-dominated particles inside a turbulent boundary layer
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