Neural network method for solving nonlinear fractional advection-diffusion equation with spatiotemporal variable-order

DOI10.1016/j.chaos.2022.111856zbMath1506.35272OpenAlexW4210401923MaRDI QIDQ2677066

Yanyan Li

Publication date: 12 January 2023

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2022.111856

zbMATH Keywords

fractional advection-diffusion equationvariable-order fractional derivativeneural network method

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) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Fractional partial differential equations (35R11)

Related Items (2)

Study of fractional-order reaction-advection-diffusion equation using neural network method ⋮ SLeNN-ELM: a shifted Legendre neural network method for fractional delay differential equations based on extreme learning machine

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