Analytical solutions for heat diffusion beyond Fourier law

DOI10.1016/j.amc.2016.08.038zbMath1411.35251OpenAlexW2515382424MaRDI QIDQ1737179

K. V. Zhukovskiĭ, Hari M. Srivastava

Publication date: 27 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2016.08.038

zbMATH Keywords

inverse operatorSchrödinger equationHermite polynomialsGuyer-Krumhansl equation

Mathematics Subject Classification ID

Related Items (14)

Analytic solutions of the cylindrical heat equation with a heat source ⋮ Existence and uniqueness of solutions to anti-periodic Riezs-Caputo impulsive fractional boundary value problems ⋮ Sequential time space fractional diffusion equation including nonhomogenous initial boundary conditions ⋮ Operational solution for some types of second order differential equations and for relevant physical problems ⋮ The compact finite difference method of two-dimensional Cattaneo model ⋮ Exact analytic solution and investigation of the Guyer-Krumhansl heat equation ⋮ Heat equations beyond Fourier: from heat waves to thermal metamaterials ⋮ Unnamed Item ⋮ Comparing Cattaneo and Fractional Derivative Models for Heat Transfer Processes ⋮ Solving evolutionary-type differential equations and physical problems using the operator method ⋮ Exact solutions of the two-dimensional Cattaneo model using Lie symmetry transformations ⋮ Bernoulli wavelet method for numerical solution of anomalous infiltration and diffusion modeling by nonlinear fractional differential equations of variable order ⋮ Some exact solutions to non-Fourier heat equations with substantial derivative ⋮ On an inversion formula for the fourier transform on distributions by means of Gaussian functions

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