An efficient numerical method on modified space-time sparse grid for time-fractional diffusion equation with nonsmooth data

DOI10.1007/s11075-023-01547-4OpenAlexW4376149199MaRDI QIDQ6141525

Xueyang Li, Bi-Yun Zhu, Ai-Guo Xiao

Publication date: 19 December 2023

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-023-01547-4

zbMATH Keywords

time-fractional diffusion equationsine pseudospectral methodhierarchical basis\(L1\) difference methodspace-time sparse grid

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Fractional derivatives and integrals (26A33) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Numerical methods for trigonometric approximation and interpolation (65T40) Fractional partial differential equations (35R11)

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