Numerical solution of two and three-dimensional fractional heat conduction equations via Bernstein polynomials

DOI10.1134/S0965542522110033zbMath1505.65273OpenAlexW4310689551MaRDI QIDQ2101419

M. Gholizadeh, Mahmoud Behroozifar, Mohsen Alipour

Publication date: 6 December 2022

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542522110033

zbMATH Keywords

Bernstein polynomialsRiemann-Liouville fractional integraloperational matricesCaputo fractional derivativetwo- and three-dimensional fractional heat conduction equations

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Heat equation (35K05) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Fractional partial differential equations (35R11) PDEs in connection with classical thermodynamics and heat transfer (35Q79) Polynomial solutions to PDEs (35C11)

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