Solving Bigeometric Volterra Integral Equations by Using Successive Approximations Method

GÜNGÖR N.

Sakarya University Journal of Science, cilt.25, sa.1, ss.150-162, 2021 (Scopus, TRDizin) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 25 Sayı: 1
  • Basım Tarihi: 2021
  • Doi Numarası: 10.16984/saufenbilder.779325
  • Dergi Adı: Sakarya University Journal of Science
  • Derginin Tarandığı İndeksler: Scopus, Academic Search Premier, Business Source Elite, Business Source Premier, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.150-162
  • Anahtar Kelimeler: bigeometric calculus, bigeometric Volterra integral equations, successive approximations method
  • Samsun Üniversitesi Adresli: Hayır

Özet

In this study, the successive approximations method has been applied to investigate the solution for the linear bigeometric Volterra integral equations of the second kind in the sense of bigeometric calculus. The conditions to be taken into consideration for the bigeometric continuity and the uniqueness of the solution of linear bigeometric Volterra integral equations of the second kind are researched. Finally, some numerical examples are presented to illustrate successive approximations method.