A Numerical-Analytical Method for Time-Fractional Dual-Phase-Lag Models of Heat Transfer
DOI10.4208/aamm.OA-2020-0237zbMath1499.65567MaRDI QIDQ5077118
Ji Lin, Wenjie Feng, Sergiy Y. Reutskiy
Publication date: 17 May 2022
Published in: Advances in Applied Mathematics and Mechanics (Search for Journal in Brave)
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Sturm-Liouville theory (34B24) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Fractional ordinary differential equations (34A08) Diffusive and convective heat and mass transfer, heat flow (80A19)
Cites Work
- Unnamed Item
- Unnamed Item
- Sextic B-spline collocation method for solving Euler-Bernoulli beam models
- Numerical simulation of dual-phase-lag bioheat transfer model during thermal therapy
- Analytical solutions for the multi-term time-fractional diffusion-wave/diffusion equations in a finite domain
- Solution of fractional bioheat equations by finite difference method and HPM
- Meshless approach for thermo-mechanical analysis of functionally graded materials
- Two high-order numerical algorithms for solving the multi-term time fractional diffusion-wave equations
- An approximate analytical solution of time-fractional telegraph equation
- Finite element approximation for a modified anomalous subdiffusion equation
- Generalized Taylor's formula
- Anomalous diffusion modeling by fractal and fractional derivatives
- The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
- Numerical method for solving the time-fractional dual-phase-lagging heat conduction equation with the temperature-jump boundary condition
- Exact analysis for propagation of heat in a biological tissue subject to different surface conditions for therapeutic applications
- Localized method of fundamental solutions for large-scale modeling of two-dimensional elasticity problems
- A domain-decomposition generalized finite difference method for stress analysis in three-dimensional composite materials
- Numerical analysis of some dual-phase-lag models
- A new collection of real world applications of fractional calculus in science and engineering
- A computational wavelet method for variable-order fractional model of dual phase lag bioheat equation
- Exact analysis based on BDLTNE approach for thermal behaviour in living tissues during regional hyperthermia therapy
- A new treatment based on hybrid functions to the solution of telegraph equations of fractional order
- The Müntz-Legendre tau method for fractional differential equations
- A new semi-analytical collocation method for solving multi-term fractional partial differential equations with time variable coefficients
- Legendre spectral element method for solving time fractional modified anomalous sub-diffusion equation
- A high-order spectral method for the multi-term time-fractional diffusion equations
- Analysis of three-dimensional anisotropic heat conduction problems on thin domains using an advanced boundary element method
- A semi-analytic method for fractional-order ordinary differential equations: testing results
- Numerical methods for solving the multi-term time-fractional wave-diffusion equation
- Numerical method and analytical technique of the modified anomalous subdiffusion equation with a nonlinear source term
- A high-order and unconditionally stable scheme for the modified anomalous fractional sub-diffusion equation with a nonlinear source term
- Numerical solution of fractional telegraph equation by using radial basis functions
- Numerical Algorithms for Time-Fractional Subdiffusion Equation with Second-Order Accuracy
- The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics
- A Regularized Singular Boundary Method for Inverse Cauchy Problem in Three-Dimensional Elastostatics
- Advances in Fractional Calculus
- Fractional diffusion in inhomogeneous media
- Fractional Calculus with Applications in Mechanics
- The random walk's guide to anomalous diffusion: A fractional dynamics approach
This page was built for publication: A Numerical-Analytical Method for Time-Fractional Dual-Phase-Lag Models of Heat Transfer