A Bessel collocation method for numerical solution of generalized pantograph equations

YÜZBAŞI Ş., Sahin N., Sezer M.

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, cilt.28, sa.4, ss.1105-1123, 2012 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 28 Sayı: 4
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1002/num.20660
  • Dergi Adı: NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1105-1123
  • Anahtar Kelimeler: Bessel matrix method, Bessel polynomials and series, collocation points, Pantograph equations, FREDHOLM INTEGRODIFFERENTIAL EQUATIONS, TAYLOR POLYNOMIAL APPROACH, APPROXIMATE SOLUTION, DIFFERENCE-EQUATIONS, ORDER, TERMS
  • Akdeniz Üniversitesi Adresli: Evet

Özet

This article is concerned with a generalization of a functional differential equation known as the pantograph equation which contains a linear functional argument. In this article, we introduce a collocation method based on the Bessel polynomials for the approximate solution of the pantograph equations. The method is illustrated by studying the initial value problems. The results obtained are compared by the known results. (c) 2011 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2011