Computing the fundamental solutions for equations of electrodynamics

Yakhno V. G., Yakhno T. M.

APPLIED MATHEMATICS AND COMPUTATION, cilt.255, ss.189-195, 2015 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 255
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1016/j.amc.2014.04.105
  • Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.189-195
  • Anahtar Kelimeler: Symmetric hyperbolic system, Generalized solution, Maxwell's equations, Analytical method, Computation, Simulation
  • Dokuz Eylül Üniversitesi Adresli: Evet

Özet

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.