The approximate solution of high-order linear Volterra-Fredholm integro-differential equations in terms of Taylor polynomials

Yalçinbaş S., Sezer M.

Applied Mathematics and Computation, cilt.112, sa.2-3, ss.291-308, 2000 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 112 Sayı: 2-3
  • Basım Tarihi: 2000
  • Doi Numarası: 10.1016/s0096-3003(99)00059-4
  • Dergi Adı: Applied Mathematics and Computation
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.291-308
  • Anahtar Kelimeler: Taylor polynomials and series, Volterra and Fredholm integral equations, integrodifferential equations
  • Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

In the present paper, a Taylor method is developed to find the approximate solution of high-order linear Volterra-Fredholm integro-differential equations under the mixed conditions in terms of Taylor polynomials about any point. In addition, examples that illustrate the pertinent features of the method are presented, and the results of study are discussed.