A Linearized Second-Order Difference Scheme for the Nonlinear Time-Fractional Fourth-Order Reaction-Diffusion Equation

DOI10.4208/NMTMA.OA-2017-0144zbMath1463.65250OpenAlexW2955604400MaRDI QIDQ5128442

Hong Sun, Rui Du, Zhi-zhong Sun

Publication date: 27 October 2020

Published in: Numerical Mathematics: Theory, Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/nmtma.oa-2017-0144

zbMATH Keywords

stabilityconvergenceCaputo derivativefractional differential equationlinearized difference schemehigh-order equation

Mathematics Subject Classification ID

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 (4)

High-order compact finite volume scheme for the 2D multi-term time fractional sub-diffusion equation ⋮ Energy stability of a temporal variable-step difference scheme for time-fractional nonlinear fourth-order reaction–diffusion equation ⋮ Pointwise error estimate of the compact difference methods for the fourth‐order parabolic equations with the third Neumann boundary conditions ⋮ A novel numerical scheme for a time fractional Black-Scholes equation

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