Stability inequalities and numerical solution for neutral Volterra delay integro-differential equation

Amirali I., Acar H.

Journal of Computational and Applied Mathematics, cilt.436, 2024 (SCI-Expanded, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 436
  • Basım Tarihi: 2024
  • Doi Numarası: 10.1016/j.cam.2023.115343
  • Dergi Adı: Journal of Computational and Applied Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: Error estimate, Finite difference scheme, Uniform convergence, Volterra delay integro-differential equation
  • İstanbul Kent Üniversitesi Adresli: Evet

Özet

The aim of the present paper is to introduce a new numerical method for solving Volterra integro-differential equation involving delay and neutral types. Using the numerical quadrature formula we form a finite difference scheme on a uniform mesh. The presented numerical method obtains a second-order convergence in discrete maximum norm. Furthermore, we illustrate the efficacy of the proposed method by constructing examples.