A fast compact finite difference method for quasilinear time fractional parabolic equation without singular kernel

DOI10.1080/00207160.2018.1501479zbMath1499.65408OpenAlexW2883638266WikidataQ129510760 ScholiaQ129510760MaRDI QIDQ5031822

Huan Liu, Hongjie Yan, Hong Wang, Zhengguang Liu, Aijie Cheng

Publication date: 16 February 2022

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2018.1501479

zbMATH Keywords

error estimatesanomalous diffusionCaputo-Fabrizio fractional derivativefast solution methodnonsingular kernel

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) 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) Fractional partial differential equations (35R11)

Related Items

MEMORY EFFECT ANALYSIS USING PIECEWISE CUBIC B-SPLINE OF TIME FRACTIONAL DIFFUSION EQUATION, Well-posedness of fractional differential equations with variable-order Caputo-Fabrizio derivative, Fast algorithm based on the novel approximation formula for the Caputo-Fabrizio fractional derivative, Temporal discretization for Caputo-Hadamard fractional derivative with incomplete gamma function via Whittaker function

Uses Software

• FODE

Cites Work

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