BELL POLYNOMIAL SOLUTION OF LINEAR FREDHOLM-VOLTERRA INTEGRO DIFFERENTIAL EQUATION SYSTEMS WITH

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Yildiz G., Sezer M., ERDEM BİÇER K.

JOURNAL OF SCIENCE AND ARTS, sa.4, ss.939-952, 2023 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2023
  • Doi Numarası: 10.46939/j.sci.arts-23.4-a11
  • Dergi Adı: JOURNAL OF SCIENCE AND ARTS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
  • Sayfa Sayıları: ss.939-952
  • Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

In this study, the Bell collocation method is applied to solve system of high order linear delay Fredholm-Volterra integro differential under initial conditions. The numerical method is substantially dependent on the truncated Bell series, their derivatives, and collocation points. By using this method, solutions of the integral system are obtained from the Bell series. Additionally, the error analysis and residual functions are performed, and some examples are provided to indicate the availability and applicability of the method.