Convergence analysis of the time-stepping numerical methods for time-fractional nonlinear subdiffusion equations
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Publication:2110874
DOI10.1007/s13540-022-00022-6zbMath1503.65194arXiv2007.07015OpenAlexW3043005211WikidataQ114017043 ScholiaQ114017043MaRDI QIDQ2110874
Publication date: 23 December 2022
Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2007.07015
convergence analysisdiscrete fractional Gronwall inequalityfast time-stepping methodstime-fractional nonlinear subdiffusion equations
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) Fractional partial differential equations (35R11)
Related Items (5)
Error estimate of the fast L1 method for time-fractional subdiffusion equations ⋮ A corrected \(\mathrm{L}1\) method for a time-fractional subdiffusion equation ⋮ A linearly stabilized convolution quadrature method for the time-fractional Allen-Cahn equation ⋮ The fast method and convergence analysis of the fractional magnetohydrodynamic coupled flow and heat transfer model for the generalized second-grade fluid ⋮ The contour integral method for Feynman-Kac equation with two internal states
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