A Fractional-Order Alternative for Phase-Lagging Equation
DOI10.4208/ijnam2023-1016zbMath1524.35044OpenAlexW4361278267MaRDI QIDQ6167461
Cui-cui Ji, Ronald E. Mickens, Weizhong Dai
Publication date: 10 July 2023
Published in: International Journal of Numerical Analysis and Modeling (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4208/ijnam2023-1016
Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Theoretical approximation in context of PDEs (35A35) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)
Cites Work
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- A priori estimates for solutions of boundary value problems for fractional-order equations
- Fractional diffusion limit for collisional kinetic equations
- Comparison of the solutions of a phase-lagging heat transport equation and damped wave equation
- Comparison of the solutions of a phase-lagging heat transport equation and damped wave equation with a heat source
- Compact finite difference schemes with spectral-like resolution
- Fractals and fractional calculus in continuum mechanics
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Numerical method for solving the time-fractional dual-phase-lagging heat conduction equation with the temperature-jump boundary condition
- A note on the delayed heat equation: instability with respect to initial data
- Parameter estimation for the time fractional heat conduction model based on experimental heat flux data
- A new collection of real world applications of fractional calculus in science and engineering
- Wellposedness and regularity of a nonlinear variable-order fractional wave equation
- Fractional single-phase lag heat conduction and transient thermal fracture in cracked viscoelastic materials
- Numerical schemes for solving the time-fractional dual-phase-lagging heat conduction model in a double-layered nanoscale thin film
- Fractional thermoelasticity
- A fast direct method for block triangular Toeplitz-like with tri-diagonal block systems from time-fractional partial differential equations
- Numerical algorithms with high spatial accuracy for the fourth-order fractional sub-diffusion equations with the first Dirichlet boundary conditions
- A note on stability in three-phase-lag heat conduction
- A positivity‐preserving nonstandard finite difference scheme for the damped wave equation
- Fractional Kinetics in Solids
- Numerical method for the estimation of the fractional parameters in the fractional mobile/immobile advection–diffusion model
- Dynamic response of a cracked thermopiezoelectric strip under thermoelectric loading using fractional heat conduction
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