An efficient FDTD algorithm for 2D/3D time fractional Maxwell's system

DOI10.1016/j.aml.2020.106992zbMath1473.78014OpenAlexW3117742712MaRDI QIDQ2021463

Xixian Bai, Hong-Xing Rui

Publication date: 27 April 2021

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2020.106992

zbMATH Keywords

Maxwell's equationsfinite-difference time-domain methoddispersive mediumfast convolution algorithmCole-Cole model

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite difference methods applied to problems in optics and electromagnetic theory (78M20) Electromagnetic theory (general) (78A25) Fractional partial differential equations (35R11)

Related Items (4)

Numerical simulation for 2D/3D time fractional Maxwell's system based on a fast second-order FDTD algorithm ⋮ Fast and efficient finite difference method for the distributed-order diffusion equation based on the staggered grids ⋮ A comparison and calibration of integer and fractional-order models of COVID-19 with stratified public response ⋮ Numerical analysis of finite-difference time-domain method for 2D/3D Maxwell's equations in a Cole-Cole dispersive medium

Cites Work

• POD/DEIM reduced-order modeling of time-fractional partial differential equations with applications in parameter identification
• An accurate spectral method for the transverse magnetic mode of Maxwell equations in Cole-Cole dispersive media
• Finite difference/spectral approximations for the time-fractional diffusion equation
• Developing Finite Element Methods for Maxwell's Equations in a Cole–Cole Dispersive Medium
• A fast high-order compact difference method for the fractal mobile/immobile transport equation
• Fast Evaluation of the Caputo Fractional Derivative and its Applications to Fractional Diffusion Equations
• An Auxiliary Differential Equation Method for FDTD Modeling of Wave Propagation in Cole-Cole Dispersive Media
• A Polynomial Chaos Method for Dispersive Electromagnetics

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