Stability and convergence of a new explicit finite-difference approximation for the variable-order nonlinear fractional diffusion equation

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DOI10.1016/j.amc.2009.02.047zbMath1171.65101OpenAlexW2098263458MaRDI QIDQ1026320

Fawang Liu, R. Lin, Ian W. Turner, V. V. Anh

Publication date: 24 June 2009

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://eprints.qut.edu.au/29758/1/29758.pdf

zbMATH Keywords

stability convergence numerical examples finite-difference methods nonlinear fractional diffusion equation

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integro-partial differential equations (45K05) Other nonlinear integral equations (45G10) Reaction-diffusion equations (35K57) 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)

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