Pointwise-in-time error analysis of the corrected \(\mathrm{L}1\) scheme for a time-fractional sine-Gordon equation

DOI10.1016/j.cnsns.2024.108370MaRDI QIDQ6649254

Hu Chen, Xi-Jun Yu, Na An, Chaobao Huang

Publication date: 5 December 2024

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

zbMATH Keywords

local error estimatesgraded meshesweak singularitycorrected \(\mathrm{L}1\) schemetime-fractional sine-Gorden equations

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Fractional derivatives and integrals (26A33) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Finite difference methods for boundary value problems involving PDEs (65N06) Singularity in context of PDEs (35A21) Fractional partial differential equations (35R11)

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