A unified Petrov-Galerkin spectral method for fractional PDEs

Computer Methods in Applied Mechanics and Engineering

Volumn 283, Issue , 2015, Pages 1545-1569

  Zayernouri, Mohsen ^a   Ainsworth, Mark ^a   Karniadakis, George Em ^a  

^a BROWN UNIVERSITY   (United States)

Author keywords

Fractional basis test functions; Jacobi poly fractonomial; Spectral convergence; Unified fast FPDE solver

Indexed keywords

BOUNDARY CONDITIONS; COMPUTATION THEORY; COMPUTATIONAL EFFICIENCY; CONVERGENCE OF NUMERICAL METHODS; COST REDUCTION; DIFFERENTIAL EQUATIONS; EFFICIENCY; EIGENVALUES AND EIGENFUNCTIONS; GALERKIN METHODS; JACOBIAN MATRICES; MATRIX ALGEBRA; NUMERICAL METHODS; SPECTROSCOPY; STIFFNESS MATRIX;

FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS; INITIAL AND BOUNDARY CONDITIONS; JACOBI POLY-FRACTONOMIAL; SPACE-FRACTIONAL DIFFUSIONS; SPECTRAL CONVERGENCE; THREE-DIMENSIONAL PROBLEMS; TIME-INTEGRATION SCHEME; UNIFIED FAST FPDE SOLVER;

TIME DOMAIN ANALYSIS;

EID: 85027923599     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2014.10.051     Document Type: Article

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