An Error Estimate of a Numerical Approximation to a Hidden-Memory Variable-Order Space-Time Fractional Diffusion Equation

DOI10.1137/20M132420XzbMath1450.65135OpenAlexW3083942293MaRDI QIDQ5123993

Hong Wang, Xiangcheng Zheng

Publication date: 17 September 2020

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/20m132420x

zbMATH Keywords

regularitywell-posednesserror estimatespectral methodspace-time fractional diffusion equationvariable order

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Fractional derivatives and integrals (26A33) 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) Initial value problems for PDEs with pseudodifferential operators (35S10) Fractional partial differential equations (35R11)

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