Orthoexponential polynomial solutions of delay pantograph differential equations with residual error estimation

BAHŞI M. M., Çevik M., Sezer M.

Applied Mathematics and Computation, cilt.271, ss.11-21, 2015 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 271
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1016/j.amc.2015.08.101
  • Dergi Adı: Applied Mathematics and Computation
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.11-21
  • Anahtar Kelimeler: Orthogonal exponential polynomials, Delay differential equation, Residual error technique, Matrix method
  • Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

In this paper, a new matrix method based on orthogonal exponential (orthoexponential) polynomials and collocation points is proposed to solve the high-order linear delay differential equations with linear functional arguments under the mixed conditions. The convenience is that orthoexponential polynomials have shown to be effective in approximating a given function, fast and efficiently. An error analysis technique based on residual function is developed and applied to four problems to demonstrate the validity and applicability of the proposed method. It is confirmed that the present method yields quite acceptable results and the accuracy of the solution can significantly be increased by error correction and residual function.