Optimal perturbation iteration technique for solving nonlinear Volterra-Fredholm integral equations

Deniz S.

Mathematical Methods in the Applied Sciences, cilt.47, sa.13, ss.10595-10601, 2024 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Özet
  • Cilt numarası: 47 Sayı: 13
  • Basım Tarihi: 2024
  • Doi Numarası: 10.1002/mma.6312
  • Dergi Adı: Mathematical Methods in the Applied Sciences
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Compendex, INSPEC, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.10595-10601
  • Anahtar Kelimeler: convergence-control parameter, optimal perturbation iteration method, residual error, Volterra-Fredholm integral equations
  • Manisa Celal Bayar Üniversitesi Adresli: Hayır

Özet

In this work, the optimal perturbation iteration method is briefly presented and employed for solving nonlinear Volterra-Fredholm integral equations. The classical form of the optimal perturbation iteration method is modified, and new algorithms are constructed for integral equations. Comparing our new algorithms with some earlier papers proved the excellent accuracy of the newly proposed technique.