Scholarlink

In this study, we provided a numerical approach to the solution of second-type Volterra nonlinear integral equations. Both Picard’s iterative method and the formula for trapezoidal quadrature constitute the basis of this approach. The initial guess function is used to find the unknown function beneath the integral successively approximatively. We utilized the fixed-point results and the trapezoidal quadrature formula to obtain approximations of the genuine solution, as well as to determine the initial approximation of the function.

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Utilizing the Successive Approximation Approach to Solve Nonlinear Volterra Integral Equations

  • 会议论文

  • 发表日期：

    2025年

查看全文
  • Mundher Younus Jaafar

摘要

In this study, we provided a numerical approach to the solution of second-type Volterra nonlinear integral equations. Both Picard’s iterative method and the formula for trapezoidal quadrature constitute the basis of this approach. The initial guess function is used to find the unknown function beneath the integral successively approximatively. We utilized the fixed-point results and the trapezoidal quadrature formula to obtain approximations of the genuine solution, as well as to determine the initial approximation of the function.