A Jacobi spectral method for calculating fractional derivative based on mollification regularization

DOI10.3233/ASY-231869OpenAlexW4387614157MaRDI QIDQ6149252

Changxing Wu, Wen Zhang, Zhousheng Ruan, Shufang Qiu

Publication date: 5 February 2024

Published in: Asymptotic Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3233/asy-231869

zbMATH Keywords

Gaussian quadraturefractional derivativemollificationJacobi collocation

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Sturm-Liouville theory (34B24) Fractional derivatives and integrals (26A33) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) PDEs with randomness, stochastic partial differential equations (35R60) Numerical quadrature and cubature formulas (65D32) Fractional ordinary differential equations (34A08) Fractional partial differential equations (35R11)

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