Numerical continuation for fractional PDEs: sharp teeth and bloated snakes

DOI10.1016/j.cnsns.2021.105762zbMath1471.65138arXiv2002.08117OpenAlexW3008928281WikidataQ114196535 ScholiaQ114196535MaRDI QIDQ2025482

Christian Kuehn, Cinzia Soresina, Noémie Ehstand

Publication date: 14 May 2021

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.08117

zbMATH Keywords

numerical continuationhomoclinic snakingspectral fractional Laplacian\texttt{pde2path}Balakrishnan formula

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Numerical quadrature and cubature formulas (65D32) Bifurcations in context of PDEs (35B32) Fractional partial differential equations (35R11)

Related Items (6)

Continuation and bifurcation in nonlinear PDEs - algorithms, applications, and experiments ⋮ Hopf bifurcations in the full SKT model and where to find them ⋮ Spatial dynamics of a fractional predator-prey system with time delay and Allee effect ⋮ Multi-spike solutions to the one-dimensional subcritical fractional Schnakenberg system ⋮ Numerical continuation for a fast-reaction system and its cross-diffusion limit ⋮ Metastable speeds in the fractional Allen-Cahn equation

Uses Software

• Matlab
• pde2path
• GitHub

Cites Work

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