DOI: 10.1515/jaa-2025-0149 ISSN: 1425-6908
A hybrid stable and convergent numerical method to solve a class of delay Volterra integral equations
Samineh Khoobizadeh, Abolfazl Tari-Marzabad, Fahimeh ZiyaeeAbstract
In this paper, we examine the numerical solution of delay Volterra integral equations (DVIEs). Here, a hybrid stable and convergent numerical method is presented to solve a class of DVIEs. First, by combining the method of successive approximations with the trapezoidal integration rule and cubic spline interpolation, we obtain an efficient scheme for numerical solving of the given equation. Then, for the given type of equation, we perform an error analysis and prove the convergence and numerical stability of the method. Finally, some numerical examples are provided to confirm the theoretical results.