Solving a class of auto-convolution Volterra integral equations via differential transform method

Tari A., Shahmorad S., Mostafazadeh M., Erdoğan F.

Journal of Mathematical Modeling, cilt.13, sa.2, ss.485-496, 2025 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 13 Sayı: 2
  • Basım Tarihi: 2025
  • Doi Numarası: 10.22124/jmm.2025.28630.2538
  • Dergi Adı: Journal of Mathematical Modeling
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.485-496
  • Anahtar Kelimeler: Analytic function, Auto-convolution, Differential transform method, Volterra integral equations
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

The aim of this paper is to solve a class of auto-convolution Volterra integral equations by the well-known differential transform method. The analytic property of solution and convergence of the method under some assumptions are discussed and some illustrative examples are given to clarify the theoretical results, accuracy and performance of the proposed method.