Fractional spectral and pseudo-spectral methods in unbounded domains: Theory and applications

Title

Fractional spectral and pseudo-spectral methods in unbounded domains: Theory and applications

Authors

Keywords

Fractional calculus, Associated Laguerre polynomials, Generalized associated Laguerre functions of the first- and second-kind, Non-classical Lagrange basis functions, Fractional differentiation and integration matrices, Convergence, Stability, Spectral methods, Pseudo-spectral methods, Galerkin and Petrov–Galerkin methods, Fractional Basset force equation, Lane–Emden equation, Fractional relaxation–oscillation equation, Fractional ordinary differential equations, Jacobi polyfractonomials, Generalized Jacobi functions, Preconditioner matrix

Journal

JOURNAL OF COMPUTATIONAL PHYSICS

Volume 338, Issue -, Pages 527-566

Publisher

Elsevier BV

Online

2017-03-03

DOI

10.1016/j.jcp.2017.02.060