A new method for computing a solution of the Cauchy problem with polynomial data for the system of crystal optics

Yakhno V., Altunkaynak M.

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, cilt.87, sa.7, ss.1469-1484, 2010 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 87 Sayı: 7
  • Basım Tarihi: 2010
  • Doi Numarası: 10.1080/00207160802380926
  • Dergi Adı: INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1469-1484
  • Anahtar Kelimeler: analytical method, system of crystal optics, initial value problem, polynomial solutions, symbolic computations, symmetric hyperbolic system
  • Dokuz Eylül Üniversitesi Adresli: Evet

Özet

A new analytical method for solving an initial value problem (IVP) for the system of crystal optics with polynomial data and a polynomial inhomogeneous term is suggested. The found solution of the IVP is a polynomial. Theoretical and computational analysis of polynomial solutions and their comparison with non-polynomial solutions corresponding to smooth data are given. The applicability of polynomial solutions to physical processes is discussed. An implementation of this method has been made by symbolic computations in Maple 10.