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In this study, we explore a stochastic methodology for addressing Volterra integral equations, particularly focusing on a multidimensional context. We provide a comprehensive examination of the method’s potential strengths and limitations, discussing its applicability. The stochastic approach is rigorously tested against a set of multidimensional benchmark problems, demonstrating its effectiveness and providing a framework for further investigation.

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Stochastic Approaches for the Multidimensional Volterra Integral Equation

  • 会议论文

  • 发表日期：

    2025年

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  • Venelin Todorov,
  • Slavi Georgiev,
  • Stoyan Apostolov,
  • Ivan Dimov

摘要

In this study, we explore a stochastic methodology for addressing Volterra integral equations, particularly focusing on a multidimensional context. We provide a comprehensive examination of the method’s potential strengths and limitations, discussing its applicability. The stochastic approach is rigorously tested against a set of multidimensional benchmark problems, demonstrating its effectiveness and providing a framework for further investigation.