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Abstract <p>The aim of this study is to present a monotone type second-order numerical method for solving Volterra–Fredholm integro-differential equation. To solve numerically this problem we construct a finite difference scheme on a uniform mesh using composite trapezoidal rule. Also, numerical results are given to support the proposed approach.</p>

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A Monotone Type Second-Order Numerical Method for Volterra–Fredholm Integro-Differential Equation

  • 期刊论文

  • 发表日期：

    2025年1月1日

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  • I. Amirali,
  • B. Fedakar,
  • G. M. Amiraliyev

摘要

Abstract

The aim of this study is to present a monotone type second-order numerical method for solving Volterra–Fredholm integro-differential equation. To solve numerically this problem we construct a finite difference scheme on a uniform mesh using composite trapezoidal rule. Also, numerical results are given to support the proposed approach.