Finite Difference Method for Advanced Volterra Integro-Differential Equation with Delay
The aim of this paper is to introduce a numerical method for advanced Volterra delay integro-differential equation with initial condition. A finite difference scheme on a uniform mesh using the trapezoidal formula is developed to numerically solve this problem. Additionally, demonstrated that this approach yields second-order convergence in the discrete maximum norm. The proposed method is validated through the presentation of numerical results.
Authors
- Muhammet Enes Durmaz (ORCID: https://orcid.org/0000-0002-6216-1032)
- Hülya Acar
- Gabil M. Amiraliyev (ORCID: https://orcid.org/0000-0001-6585-7353)
- İlhame Amirali (ORCID: https://orcid.org/0000-0002-5103-8856)
Institutions
- Bavarian Research Institute for Digital Transformation (DE)
- Istanbul Kent University (TR)
- Memorial Sisli Hospital (TR)
- Düzce Üniversitesi (TR)
Publication Details
- Journal
- Computational Mathematics and Mathematical Physics
- Published
- 2025-04-01
- DOI
- https://doi.org/10.1134/s0965542525700149
- Primary Topic
- Differential Equations and Numerical Methods
- Type
- article
- Field-Weighted Citation Impact
- 0.00