Approximate solutions for the fractional advection–dispersion equation using Legendre pseudo-spectral method

Computational and Applied Mathematics

Volumn 33, Issue 3, 2014, Pages 739-750

  Khader, M M ^a,b   Sweilam, N H ^c  

^a AL IMAM MOHAMMAD IBN SAUD ISLAMIC UNIVERSITY IMSIU   (Saudi Arabia)

^b BENHA UNIVERSITY   (Egypt)

^c CAIRO UNIVERSITY   (Egypt)

Author keywords

Caputo fractional derivative; Convergence analysis; Finite difference method; Fractional advection dispersion equation; Legendre pseudo spectral method

Indexed keywords

ADVECTION; DIFFERENTIAL EQUATIONS; DIFFERENTIATION (CALCULUS); DISPERSIONS; FLOW OF FLUIDS; GROUNDWATER; NUMERICAL METHODS; POROUS MATERIALS; SPECTROSCOPY;

ADVECTION-DISPERSION EQUATION; APPROXIMATE SOLUTION; CAPUTO FRACTIONAL DERIVATIVES; CONVERGENCE ANALYSIS; FINITE-DIFFERENCE METHODS; FRACTIONAL ADVECTION–DISPERSION EQUATION; FRACTIONAL DIFFERENTIAL EQUATIONS; LEGENDRE; LEGENDRE PSEUDO-SPECTRAL METHOD; PSEUDOSPECTRAL METHODS;

FINITE DIFFERENCE METHOD;

EID: 84919908826     PISSN: 22383603     EISSN: 18070302     Source Type: Journal    
DOI: 10.1007/s40314-013-0091-x     Document Type: Article

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