A Meshfree Method for the Fractional Advection-Diffusion Equation

DOI10.1007/978-3-319-51954-8_4zbMath1404.65208OpenAlexW2605358474MaRDI QIDQ4554195

Gregory J. Wagner, Wing Kam Liu, Yanping Lian

Publication date: 13 November 2018

Published in: Meshfree Methods for Partial Differential Equations VIII (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-51954-8_4

zbMATH Keywords

Gauss quadraturefractional derivativefractional orderCaputo fractional derivativefractional derivative order

Mathematics Subject Classification ID

Numerical quadrature and cubature formulas (65D32) Fractional partial differential equations (35R11) Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs (65M75)

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Cites Work

• A new finite element formulation for computational fluid dynamics. II. Beyond SUPG
• A new finite element formulation for computational fluid dynamics. VI. Convergence analysis of the generalized SUPG formulation for linear time- dependent multidimensional advective-diffusive systems
• Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
• The variational multiscale method -- a paradigm for computational mechanics
• Finite difference methods for two-dimensional fractional dispersion equation
• Reproducing kernel particle methods for structural dynamics
• Reproducing kernel particle methods