Fractional Laguerre spectral methods and their applications to fractional differential equations on unbounded domain

DOI10.1080/00207160.2015.1119270zbMath1375.65135OpenAlexW2274893281MaRDI QIDQ5737883

Tarek Aboelenen, H. M. El-Hawary, Shaaban A. Bakr

Publication date: 30 May 2017

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/20.500.11824/102

zbMATH Keywords

numerical exampleeigenvalueweighted Sobolev spacesfractional advection-diffusion equationPetrov-Galerkin spectral methodsapproximation resultsfractional initial value problemfractional-polynomials eigenfunctionssingular fractional Sturm-Liouville operator

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Estimates of eigenvalues in context of PDEs (35P15) Sturm-Liouville theory (34B24) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) 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) Fractional partial differential equations (35R11)

Related Items (6)

New form of Laguerre fractional differential equation and applications ⋮ Stability analysis and error estimates of implicit-explicit Runge-Kutta local discontinuous Galerkin methods for nonlinear fractional convection-diffusion problems ⋮ Discontinuous Galerkin methods for fractional elliptic problems ⋮ An improved tau method for the multi-dimensional fractional Rayleigh-Stokes problem for a heated generalized second grade fluid ⋮ The Laguerre-Hermite spectral methods for the time-fractional sub-diffusion equations on unbounded domains ⋮ On the rate of convergence of spectral collocation methods for nonlinear multi-order fractional initial value problems

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