A preconditioned numerical solver for stiff nonlinear reaction-diffusion equations with fractional Laplacians that avoids dense matrices

DOI10.1016/j.jcp.2015.02.012zbMath1352.65265OpenAlexW2052389599MaRDI QIDQ729164

Alex Simmons, Qianqian Yang, Timothy J. Moroney

Publication date: 20 December 2016

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2015.02.012

zbMATH Keywords

nonlinearbackward differentiation formulafractional Laplacianbanded preconditionerJacobian-free Newton-Krylovcontour integral method

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) Preconditioners for iterative methods (65F08) Fractional partial differential equations (35R11) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

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Uses Software

• SUNDIALS

Cites Work

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• SUNDIALS
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