Asymptotic preserving schemes for the FitzHugh-Nagumo transport equation with strong local interactions

DOI10.1007/s10543-021-00844-5OpenAlexW3135487474MaRDI QIDQ2045165

Joachim Crevat, Francis Filbet

Publication date: 12 August 2021

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.04467

zbMATH Keywords

spectral methodsparticle methodsasymptotic preservingFitzHugh-Nagumo transport equationImEx-methodsVlasov-like equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Vlasov equations (35Q83) Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs (65M75) Transport equations (35Q49)

Related Items (1)

Concentration profiles in FitzHugh-Nagumo neural networks: a Hopf-Cole approach

Uses Software

• Boltzmann

Cites Work

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