LUCAS POLYNOMIAL SOLUTION FOR NEUTRAL DIFFERENTIAL EQUATIONS WITH PROPORTIONAL DELAYS

Gumgum S., Savasaneril N., Kurkcu O. K., Sezer M.

TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, cilt.10, sa.1, ss.259-269, 2020 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 10 Sayı: 1
  • Basım Tarihi: 2020
  • Dergi Adı: TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.259-269
  • Anahtar Kelimeler: Neutral differential equations, Lucas and Taylor polynomials, collocation and matrix methods, VARIATIONAL ITERATION METHOD
  • Dokuz Eylül Üniversitesi Adresli: Evet

Özet

This paper proposes a combined operational matrix approach based on Lucas and Taylor polynomials for the solution of neutral type differential equations with proportional delays. The advantage of the proposed method is the ease of its application. The method facilitates the solution of the given problem by reducing it to a matrix equation. Illustrative examples are validated by means of absolute errors. Residual error estimation is presented to improve the solutions. Presented in graphs and tables the results are compared with the existing methods in literature.