Analytical solution of time fractional Cattaneo heat equation for finite slab under pulse heat flux

DOI10.1007/S10483-018-2375-8zbMath1402.35309OpenAlexW2887266636MaRDI QIDQ1626186

Guang-Ying Xu, Jin-Bao Wang

Publication date: 27 November 2018

Published in: AMM. Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-018-2375-8

zbMATH Keywords

fractional derivativeCattaneo-Vernotte modelfinite slabfractional Cattaneo model

Mathematics Subject Classification ID

Fractional partial differential equations (35R11) PDEs in connection with classical thermodynamics and heat transfer (35Q79)

Related Items (5)

Performance enhancement of a DC-operated micropump with electroosmosis in a hybrid nanofluid: fractional Cattaneo heat flux problem ⋮ Study of Mainardi's fractional heat problem ⋮ A novel electron-phonon coupling thermoelasticity with Burgers electronic heat transfer ⋮ Anomalous heat diffusion from fractional Fokker-Planck equation ⋮ A numerical method based on three-dimensional Legendre wavelet method for two-dimensional time-fractional diffusion equation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Cattaneo-type time fractional heat conduction equation for laser heating
• Slip effects on MHD flow of a generalized Oldroyd-B fluid with fractional derivative
• Application of solution structure theorem to non-Fourier heat conduction problems: analytical approach
• Numerical solution of FSPL heat conduction equation for analysis of thermal propagation
• Generalized dual-phase lag bioheat equations based on nonequilibrium heat transfer in living biological tissues
• Heat conduction in a semi-infinite solid due to time-dependent laser source
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Numerical analysis of wave-type heat transfer propagating in a thin foil irradiated by short-pulsed laser.
• A fractional diffusion equation to describe Lévy flights
• Explicit and implicit finite difference schemes for fractional Cattaneo equation
• The generalized Cattaneo equation for the description of anomalous transport processes
• Generalized viscoelastic models: their fractional equations with solutions
• Thermal wave model of bioheat transfer with modified Riemann–Liouville fractional derivative
• Heat waves
• The fractional Fick's law for non-local transport processes

This page was built for publication: Analytical solution of time fractional Cattaneo heat equation for finite slab under pulse heat flux