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Time-Domain Finite-Difference and Finite-Element Methods for Maxwell Equations in Complex Media

IEEE Transactions on Antennas and Propagation, 2008
Extensions of finite-difference time-domain (FDTD) and finite-element time-domain (FETD) algorithms are reviewed for solving transient Maxwell equations in complex media. Also provided are a few representative examples to illustrate the modeling capabilities of FDTD and FETD for complex media. The term complex media refers here to media with dispersive,
Fernando L Teixeira
exaly   +2 more sources

Generalized Briot–Bouquet differential equation by a quantum difference operator in a complex domain

International Journal of Dynamics and Control, 2020
In the present study, we employ the concept of quantum calculus and the convolution product to impose a generalized symmetric Salagean q-differential operator. By consuming the new operator and the model of the Janowski function, we describe definite new classes of analytic functions in the open unit disk.
Rabha W. Ibrahim   +2 more
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Complex-valued adaptive-coefficient finite-difference frequency-domain method for wavefield modeling based on the diffusive-viscous wave equation

Geophysics, 2023
ABSTRACT The diffusive-viscous wave (DVW) equation is an effective model for analyzing seismic low-frequency anomalies and attenuation in porous media. To effectively simulate DVW wavefields, the finite-difference or finite-element method in the time domain is favored, but the time-domain approach proves less efficient with multiple ...
Haixia Zhao   +3 more
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The Complex WKB Method for Difference Equations in Bounded Domains

Journal of Mathematical Sciences, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fedotov, A. A., Shchetka, E. V.
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Finite difference procedure for solution of poisson equation over complex domains with Neumann boundary conditions

Computers & Fluids, 1978
Abstract A generalized finite difference scheme for solving Poisson equation over multiply connected domain bounded by irregular boundaries at which Neumann boundary conditions are specified, is presented in this paper. The method used to treat the Neumann condition is a six-point gradient approximation method given by Greenspan[6].
BENODEKAR, RW, DATE, AW
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A four-dimensional solvable system of difference equations in the complex domain

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Stability and error estimation based on a difference-spectral approximation for the Cahn–Hilliard equation in complex domains

Calcolo
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Jihui Zheng, Jing An
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