Chebyshev polynomial solutions of second-order linear partial differential equations

Kesan C.

APPLIED MATHEMATICS AND COMPUTATION, cilt.134, sa.1, ss.109-124, 2003 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 134 Sayı: 1
  • Basım Tarihi: 2003
  • Doi Numarası: 10.1016/s0096-3003(01)00273-9
  • Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.109-124
  • Anahtar Kelimeler: Chebyshev polynomial solutions, second-order partial differential equations, approximate solutions of PDE
  • Dokuz Eylül Üniversitesi Adresli: Evet

Özet

The purpose of this study is to give a Chebyshev polynomial approximation for the solution of second-order partial differential equations with two variables and variable coefficients. For this purpose, Chebyshev matrix method is introduced. This method is based on taking the truncated Chebyshev expansions of the functions in the partial differential equations. Hence, the result matrix equation can be solved and the unknown Chebyshev coefficients can be found approximately. Published by Elsevier Science Inc.