A high-order numerical scheme for solving nonlinear time fractional reaction-diffusion equations with initial singularity

DOI10.1016/j.apnum.2021.06.013zbMath1486.65203OpenAlexW3177420946MaRDI QIDQ2048416

Shujuan Lü, Haiyu Liu

Publication date: 5 August 2021

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2021.06.013

zbMATH Keywords

stabilityconvergenceunique solvabilitygraded meshinitial singularitynonlinear fractional diffusion equation

Mathematics Subject Classification ID

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) 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) Fractional partial differential equations (35R11)

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