Enriched reproducing kernel particle method for fractional advection-diffusion equation
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Publication:1633033
DOI10.1007/s10409-017-0742-zzbMath1404.65070OpenAlexW2769489757MaRDI QIDQ1633033
Yuping Ying, Yanping Lian, Wing Kam Liu, Shao-Qiang Tang
Publication date: 19 December 2018
Published in: Acta Mechanica Sinica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10409-017-0742-z
advection-diffusion equationmeshfree methodenriched reproducing kernelfractional calulusfractional-order basis
Numerical solution of boundary value problems involving ordinary differential equations (65L10) Fractional ordinary differential equations (34A08)
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Cites Work
- Fractional Sturm-Liouville eigen-problems: theory and numerical approximation
- Exponentially accurate spectral and spectral element methods for fractional ODEs
- High-order algorithms for Riesz derivative and their applications. II
- Fractional spectral collocation methods for linear and nonlinear variable order FPDEs
- An adaptive finite element material point method and its application in extreme deformation problems
- Fractional diffusion equations by the Kansa method
- Anomalous diffusion modeling by fractal and fractional derivatives
- Fractals and fractional calculus in continuum mechanics
- A Lagrangian reproducing kernel particle method for metal forming analysis
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Large deformation analysis of rubber based on a reproducing kernel particle method
- Moving least-square reproducing kernel methods. I: Methodology and convergence
- Moving least-square reproducing kernel method. II: Fourier analysis
- Reproducing kernel particle methods for large deformation analysis of nonlinear structures
- An enriched finite element method to fractional advection-diffusion equation
- Least squares finite-element solution of a fractional order two-point boundary value problem
- A fractional model with parallel fractional Maxwell elements for amorphous thermoplastics
- A Petrov-Galerkin finite element method for the fractional advection-diffusion equation
- High-order central difference scheme for Caputo fractional derivative
- Fractional derivative anomalous diffusion equation modeling prime number distribution
- A meshfree unification: reproducing kernel peridynamics
- A level set enhanced natural kernel contact algorithm for impact and penetration modeling
- DYNAMIC FRACTURE USING ELEMENT-FREE GALERKIN METHODS
- Variational solution of fractional advection dispersion equations on bounded domains in ℝd
- Wavelet and multiple scale reproducing kernel methods
- Reproducing kernel particle methods for structural dynamics
- Reproducing kernel particle methods
- A Comparative Study of Finite Element and Finite Difference Methods for Two-Dimensional Space-Fractional Advection-Dispersion Equation
- Fractional differentiation matrices with applications
- Petrov--Galerkin and Spectral Collocation Methods for Distributed Order Differential Equations
- Variational formulation for the stationary fractional advection dispersion equation
- The random walk's guide to anomalous diffusion: A fractional dynamics approach
