Computing the fundamental solutions for equations of electrodynamics
| Autor: | Valery G. Yakhno, Tatyana Yakhno |
|---|---|
| Rok vydání: | 2015 |
| Předmět: |
Generalized function
Differential equation Applied Mathematics Weak solution Mathematical analysis Dirac delta function Computational Mathematics symbols.namesake Fourier transform Maxwell's equations Quantum electrodynamics Regularization (physics) symbols Method of fundamental solutions Mathematics |
| Zdroj: | Applied Mathematics and Computation. 255:189-195 |
| ISSN: | 0096-3003 |
| Popis: | An analytical method for computing a generalized solution of a linear symmetric hyperbolic system is suggested. This method is based on the 3D Fourier transformation, matrix computations, a special approximation (regularization) of the Dirac delta function and 3D inverse Fourier transform of generalized functions. The implementation of this method has been done in MATLAB for computing the fundamental solutions of differential equations of electrodynamics in bi-anisotropic materials. Computational experiments have confirmed the robustness of the method. (C) 2014 Elsevier Inc. All rights reserved. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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