A novel Fourier-based meshless method for \(( 3 + 1 )\)-dimensional fractional partial differential equation with general time-dependent boundary conditions

DOI10.1016/j.aml.2022.108441zbMath1500.65086OpenAlexW4295809030WikidataQ114210436 ScholiaQ114210436MaRDI QIDQ2080884

Yitong Xu, Ji Lin, Jun Lu, Sergiy Y. Reutskiy

Publication date: 11 October 2022

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2022.108441

zbMATH Keywords

meshless methodFourier methodbackward substitution methodtime fractional equationMüntz polynomial basis

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Fractional partial differential equations (35R11)

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Cites Work

• A multi-domain spectral method for time-fractional differential equations
• RBFs approximation method for time fractional partial differential equations
• A finite difference method for fractional partial differential equation
• An efficient differential quadrature method for fractional advection-diffusion equation
• Local knot method for 2D and 3D convection-diffusion-reaction equations in arbitrary domains
• Fourier spectral method for higher order space fractional reaction-diffusion equations
• A new collection of real world applications of fractional calculus in science and engineering
• A new semi-analytical collocation method for solving multi-term fractional partial differential equations with time variable coefficients
• A finite element method for time fractional partial differential equations

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