Numerical solution of FSPL heat conduction equation for analysis of thermal propagation

DOI10.1016/j.amc.2015.10.082zbMath1410.80020OpenAlexW2174212056MaRDI QIDQ668570

K. N. Rai, T. N. Mishra

Publication date: 19 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.2015.10.082

zbMATH Keywords

unconditional stabilitycompact difference schemefractional Taylor series formulaFSPL heat conduction modellaser heat sourceSPL heat conduction model

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite difference methods applied to problems in thermodynamics and heat transfer (80M20)

Related Items (5)

Analytical and numerical analysis of time fractional dual-phase-lag heat conduction during short-pulse laser heating ⋮ Analytical solution of time fractional Cattaneo heat equation for finite slab under pulse heat flux ⋮ Analytical and numerical treatment of the heat conduction equation obtained via time-fractional distributed-order heat conduction law ⋮ Numerical method for solving the time-fractional dual-phase-lagging heat conduction equation with the temperature-jump boundary condition ⋮ Numerical Algorithm with Fourth-Order Spatial Accuracy for Solving the TimeFractional Dual-Phase-Lagging Nanoscale Heat Conduction Equation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Cattaneo-type time fractional heat conduction equation for laser heating
• Identifying an unknown source in time-fractional diffusion equation by a truncation method
• Solutions of the space-time fractional Cattaneo diffusion equation
• Theory of fractional order in generalized thermoelectric MHD
• Generalized Taylor's formula
• Fractional calculus models of complex dynamics in biological tissues
• Implicit finite difference approximation for time fractional diffusion equations
• Compact finite difference schemes with spectral-like resolution
• A closed form solution for temperature rise inside solid substrates due to time exponentially varying pulse
• The Cattaneo type space-time fractional heat conduction equation
• The analytical solution and numerical solution of the fractional diffusion-wave equation with damping
• Finite difference/spectral approximations for the time-fractional diffusion equation
• Explicit and implicit finite difference schemes for fractional Cattaneo equation
• The generalized Cattaneo equation for the description of anomalous transport processes
• Heat waves
• Heat Conduction

This page was built for publication: Numerical solution of FSPL heat conduction equation for analysis of thermal propagation