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Articles

A More Approximate Green's Function for the Electric Field Vector with Anisotropic Properties

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Pages 24-33 | Published online: 13 Apr 2012

References

  • Ramo , S. , Whinnery , J. R. and Duzer , T. 1994 . Fields and Waves in Communication Electronics , New York : John Wiley and Sons .
  • Kong , K. A. 1986 . Electromagnetic Wave Theory , New York : John Wiley and Sons .
  • Eom , H. J. 2004 . Electromagnetic Wave Theory for Boundary-value Problems , Berlin : Springer .
  • Monk , P. 2003 . Finite Element Methods for Maxwell’s Equations , Oxford : Clarendon Press .
  • Yakhno , V. G. and Yakhno , T. M. 2007 . Modelling and simulation of electric and magnetic fields in homogeneous non-dispersive anisotropic materials . Computers and Structures , 85 : 1623 – 1634 .
  • Yakhno , V. G. , Yakhno , T. M. and Kasap , M. A. 2006 . A novel approach for modelling and simulation of electromagnetic waves in anisotropic dielectrics . International Journal of Solids and Structures , 43 : 6261 – 6276 .
  • Cohen , G. C. 2002 . Higher-order Numerical Methods for Transient Wave Equations , Berlin : Springer Verlag .
  • Yakhno , V. and Sevimlican , A. 2011 . An analytical method for the initial value problem of the electric field system in vertical inhomogeneous anisotropic media . Applications of Mathematics , 56 : 315 – 339 .
  • Carcione , J. M. 2010 . Simulation of electromagnetic diffusion in anisotropic media . Progress In Electromagnetics Research B , 26 : 425 – 450 .
  • Ye , Q. and Lu , F. 2010 . The anisotropic cell model in the colloidal plasmas . Progress In Electromagnetics Research , 100 : 381 – 396 .
  • Gurel , C. S. and Oncu , E. 2009 . Interaction of electromagnetic wave and plasma slab with partially linear and sinusoidal electron density profile . Progress In Electromagnetics Research Letters , 12 : 171 – 181 .
  • Xu , J. , Wang , W. X. , Yue , L. N. , Gong , Y. B. and Wei , Y. Y. 2009 . Electromagnetic wave propagation in an elliptical chiroferrite waveguide . Journal of Electromagnetic Waves And Applications , 23 ( 14–15 ) : 2021 – 2030 .
  • Ramm , A. G. 2010 . Electromagnetic wave scattering by a thin layer in which many small particles are embedded . Progress In Electromagnetics Research Letters , 19 : 147 – 154 .
  • Chen , J. and Liu , Q. H. 2009 . A non-spurious vector spectral element method for Maxwell’s equations . Progress In Electromagnetics Research , 96 : 205 – 215 .
  • Valagiannopoulos , C. A. 2010 . A novel methodology for estimating the permittivity of a specimen rod at low radio frequencies . Journal of Electromagnetic Waves and Applications , 24 ( 5–6 ) : 631 – 640 .
  • Deore , N. and Chatterjee , A. 2010 . Cell-vertex based multigrid solution of the time-domain Maxwell’s equations . Progress In Electromagnetics Research B , 23 : 181 – 197 .
  • Akmaz , H. K. 2009 . Variational iteration method for elastodynamic Green’s functions . Nonlinear Analysis , 71 : 218 – 223 .
  • Sevimlican , A. 2010 . Constructing approximate Green’s function for a vector equation for the electric field using the variational iteration method . Applied Mathematics Letters , 23 : 533 – 536 .
  • He , J. H. 2005 . Application of homotopy perturbation method to nonlinear wave equations . Chaos, Solitons and Fractals , 26 : 695 – 700 .
  • He , J. H. 2005 . Homotopy perturbation method for bifurcation of nonlinear problems . International Journal of Nonlinear Science and Numerical Simulation , 6 : 207
  • He , J. H. 2006 . Homotopy perturbation method for solving boundary value problems . Physics Letters A , 350 : 87
  • He , J. H. 1999 . Homotopy perturbation technique . Computational Methods in Applied Mechanics and Engineering , 178 : 257
  • Yıldırım , A. and Öziş , T. 2007 . Solutions of singular IVPs of Lane-Emden type by homotopy perturbation method . Physics Letters A , 369 : 70
  • Yıldırım , A. 2008 . Solution of BVPs for fourth-order integro-differential equations by using homotopy perturbation method . Computers & Mathematics with Applications , 56 : 3175 – 3180 .
  • Kocak , H. and Yildirim , A. 2009 . Numerical solution of 3D Green’s function for the dynamic system of anisotropic elasticity . Physics Letters A , 373 : 3145 – 3150 .
  • Dehghan , M. and Shakeri , F. 2008 . Solution of an integro-differential equation arising in oscillating magnetic fields using He’s homotopy perturbation method . Progress In Electromagnetics Research , 78 : 361 – 376 .
  • Shakeri , F. and Dehghan , M. 2007 . Inverse problem of diffusion equation by He’s homotopy perturbation method . Physica Scripta , 75 : 551
  • Dehghan , M. and Shakeri , F. 2007 . Solution of a partial differential equation subject to temperature overspecification by He’s homotopy perturbation method . Physica Scripta , 75 : 778
  • Shakeri , F. and Dehghan , M. 2008 . Solution of the delay differential equations via homotopy perturbation method . Mathematical and Computer Modelling , 48 : 486

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