Adopted spectral tau approach for the time-fractional diffusion equation via seventh-kind Chebyshev polynomials

DOI10.1186/s13661-024-01907-6MaRDI QIDQ6640206

Youssri H. Youssri, Waleed M. Abd-Elhameed, Unnamed Author

Publication date: 18 November 2024

Published in: Boundary Value Problems (Search for Journal in Brave)

zbMATH Keywords

error analysisspectral methodstrigonometric representationsconnection formulasfractional derivatives expressions

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Best approximation, Chebyshev systems (41A50) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Mittag-Leffler functions and generalizations (33E12) 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) Fractional ordinary differential equations (34A08) Fractional partial differential equations (35R11)

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