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This research investigates the solution of linear and nonlinear Volterra integral equations using a new approach. The Laplace residual power series approach is utilized in this article to solve the target equations; the steps of the method are presented in simple algorithms. Some examples are discussed and solved by the presented method, and the graphs of the solutions are introduced and analyzed to prove the efficiency and applicability of the presented approach.

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Computational Efficiency and Accuracy in Solving Linear and Nonlinear Volterra Integral Equations via a New Approach

  • 会议论文

  • 发表日期：

    2025年

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  • Rania Saadeh,
  • Mohammad-Kheir Allubbad,
  • Ahmad Qazza,
  • Raed Khalil

摘要

This research investigates the solution of linear and nonlinear Volterra integral equations using a new approach. The Laplace residual power series approach is utilized in this article to solve the target equations; the steps of the method are presented in simple algorithms. Some examples are discussed and solved by the presented method, and the graphs of the solutions are introduced and analyzed to prove the efficiency and applicability of the presented approach.