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cs.CE2017★ 27 cited
A Unified Spectral Method for FPDEs with Two-sided Derivatives; A Fast Solver
M. Samiee, M. Zayernouri. Mark M. Meerschaert
We develop a unified Petrov-Galerkin spectral method for a class of fractional partial differential equations with two-sided derivatives and constant coefficients of the form $ _{0…
cs.CE2017★ 21 cited
A Unified Spectral Method for FPDEs with Two-sided Derivatives; Stability, and Error Analysis
Mehdi Samiee, Mohsen Zayernouri, Mark M. Meerschaert
We present the stability and error analysis of the unified Petrov-Galerkin spectral method, developed in \cite{samiee2017Unified}, for linear fractional partial differential equati…