A note on the adaptive numerical solution of a Riemann-Liouville space-fractional Kawarada problem

DOI10.1016/j.cam.2020.112714zbMath1435.65136OpenAlexW2998879384MaRDI QIDQ2306382

Lin Zhu, Qin Sheng

Publication date: 23 March 2020

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

Full work available at URL: https://doi.org/10.1016/j.cam.2020.112714

zbMATH Keywords

monotonicitypositivitycritical lengthquenching timefractional Kawarada problemquenching location

Mathematics Subject Classification ID

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) Combustion (80A25) Fractional partial differential equations (35R11) PDEs in connection with classical thermodynamics and heat transfer (35Q79)

Related Items (6)

A nonlinear discrete model for approximating a conservative multi-fractional Zakharov system: analysis and computational simulations ⋮ A spatially sixth-order hybrid \(L1\)-CCD method for solving time fractional Schrödinger equations. ⋮ Second-order semi-discretized schemes for solving stochastic quenching models on arbitrary spatial grids ⋮ A series representation of the discrete fractional Laplace operator of arbitrary order ⋮ Two energy-preserving numerical models for a multi-fractional extension of the Klein-Gordon-Zakharov system ⋮ A simulation expressivity of the quenching phenomenon in a two-sided space-fractional diffusion equation

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