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Darvishi, H.; Kerayechian, A.; Gachpazan, M.

Non-polynomial spectral-Galerkin method for time-fractional diffusion equation on unbounded domain. (English) Zbl 1496.65175

Int. J. Appl. Comput. Math. 8, No. 4, Paper No. 213, 22 p. (2022).

MSC:

65M70 Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs
65M60 Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs
33C45 Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.)
26A33 Fractional derivatives and integrals
35R11 Fractional partial differential equations

Keywords:

spectral-Galerkin method; non-polynomial functions; time fractional diffusion equation; Laguerre polynomials; unbounded domains
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Full Text: DOI

References:

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