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Abstract <p>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.</p>

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Finite Difference Method for Advanced Volterra Integro-Differential Equation with Delay

  • 期刊论文

  • 发表日期：

    2025年4月1日

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  • H. Acar,
  • I. Amirali,
  • M. E. Durmaz,
  • G. M. Amiraliyev

摘要

Abstract

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.