A numerical algorithm for the solution of an intermediate fractional advection dispersion equation

DOI10.1016/J.CNSNS.2009.05.072zbMath1221.35438OpenAlexW2059310719MaRDI QIDQ718234

S. H. Behiry, W. E. Raslan, Ahmed M. A. El-Sayed

Publication date: 23 September 2011

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

Full work available at URL: https://doi.org/10.1016/j.cnsns.2009.05.072

zbMATH Keywords

fractional derivativeadvection dispersion equationintermediate physical processes

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Fractional partial differential equations (35R11)

Related Items (3)

Quadratic Spline Function for the Approximate Solution of an Intermediate Space-Fractional Advection Diffusion Equation ⋮ Generalized synchronization of two bidirectionally coupled discrete dynamical systems ⋮ Numerical solution of unsteady advection dispersion equation arising in contaminant transport through porous media using neural networks

Cites Work

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• Fractional calculus and some intermediate physical processes.
• Recent applications of fractional calculus to science and engineering
• Finite difference approximations for fractional advection-dispersion flow equations
• Finite difference approximations for two-sided space-fractional partial differential equations
• Lagrangian Formulation of Classical Fields within Riemann-Liouville Fractional Derivatives

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