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Efficient Auxiliary Differential Equation FDTD Method for Dispersive Media

Advanced Photonics for Communications, 2014
The auxiliary differential equation (ADE) method is widely used with FDTD to analyze dispersive media, and it requires rational function models for the relative permittivity. In this paper, a new and efficient ADE formulation for the models with complex-conjugate pole-residue pairs is developed and validated.
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The auxiliary elliptic-like equation and the exp-function method

Pramana, 2009
The auxiliary equation method is very useful for finding the exact solutions of the nonlinear evolution equations. In this paper, a new idea of finding the exact solutions of the nonlinear evolution equations is introduced. The idea is that the exact solutions of the auxiliary elliptic-like equation are derived using exp-function method, and then the ...
Hong Li, Jin-Liang Zhang
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Variable-coefficient auxiliary equation method for exact solutions of non-linear evolution equations

International Journal of Computer Mathematics, 2010
In this paper, a variable-coefficient auxiliary equation method is proposed to seek more general exact solutions of non-linear evolution equations. Being concise and straightforward, this method is applied to the Kawahara equation, Sawada-Kotera equation and (2+1)-dimensional Korteweg-de Vries equations.
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Exact solutions of some coupled nonlinear diffusion-reaction equations using auxiliary equation method

Pramana, 2012
Travelling and solitary wave solutions of certain coupled nonlinear diffusion-reaction equations have been constructed using the auxiliary equation method. These equations arise in a variety of contexts not only in biological, chemical and physical sciences but also in ecological and social sciences.
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A generalized auxiliary equation method and its application to the (2+1)-dimensional KdV equations

Applied Mathematics and Computation, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Newly modified unified auxiliary equation method and its applications

Optik, 2022
Sibel Tarla   +2 more
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Auxiliary source point method: the inhomogeneous and nonlinear laplace equation

Engineering Analysis, 1988
Abstract The Auxiliary Source Method, (ASP), Cekirge and Lehr1, is extended for the solution of inhomogenous and nonlinear elliptic equations. A set of localized internal functions (LIFT) Brebbia2 is added to the functions of the ASP method to take care of the inhomogeneous part of the elliptic partial differential equation. Since the solution of the
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Magnetic resonance linear accelerator technology and adaptive radiation therapy: An overview for clinicians

Ca-A Cancer Journal for Clinicians, 2022
William A Hal, X Allen Li, Daniel A Low
exaly  

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