Numerical solution of space-time fractional PDEs using RBF-QR and Chebyshev polynomials

DOI10.1016/j.apnum.2019.04.012zbMath1419.65082OpenAlexW2943830767WikidataQ114208297 ScholiaQ114208297MaRDI QIDQ2311780

Sushil Kumar, Cécile Piret

Publication date: 4 July 2019

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2019.04.012

zbMATH Keywords

Chebyshev polynomialsradial basis functionsCaputo derivativeRBF-QR methodspace-time fractional PDE

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Numerical interpolation (65D05) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Fractional partial differential equations (35R11)

Related Items (7)

An efficient numerical method for solving a class of variable-order fractional mobile-immobile advection-dispersion equations and its convergence analysis ⋮ Unnamed Item ⋮ A stable RBF partition of unity local method for elliptic interface problems in two dimensions ⋮ A stable computation on local boundary-domain integral method for elliptic PDEs ⋮ Hybrid method of space-time and Houbolt methods for solving linear time-dependent problems ⋮ A SPECTRAL APPROACH FOR TIME-FRACTIONAL DIFFUSION AND SUBDIFFUSION EQUATIONS IN A LARGE INTERVAL ⋮ Numerical solution of space-time fractional Klein-Gordon equation by radial basis functions and Chebyshev polynomials

Uses Software

• rbf_qr

Cites Work

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