Petrov--Galerkin and Spectral Collocation Methods for Distributed Order Differential Equations

DOI10.1137/16M1073121zbMath1367.65113arXiv1604.08650OpenAlexW2963805080MaRDI QIDQ5268989

Mohsen Zayernouri, Ehsan Kharazmi, George Em. Karniadakis

Publication date: 14 June 2017

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.08650

zbMATH Keywords

stabilitynumerical exampleserror analysiseigenfunctionspectral collocation methodspectral convergenceuncertainty quantificationJacobi polyfractonomialsnodal basismodal basisPetrov-Galerkin spectral methodfractional Lagrange interpolantsdistributed order fractional differential equationsdistributed Sobolev spacedistributed bilinear formsfractional Sturm-Liouville eigen-problems

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical approximation of eigenvalues and of other parts of the spectrum of ordinary differential operators (34L16) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15) Fractional ordinary differential equations (34A08)

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