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In the present work we compute and compare the numerical solution of Volterra integral linear and non-linear equations with continuous nucleus. Firstly it is considered the existence and uniqueness of the solution of the considered problems. Also, it is investigated the regularity of the solution. The numerical solution is computed rearranging the usual quadrature formulas in integration to obtain the numerical scheme. We finalize the work with the discussion of the results and final remarks.

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Comparing the Numerical Solution of Linear and Non-linear Volterra Integral Equations of Second Type

  • 会议论文

  • 发表日期：

    2025年

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  • M. Filomena Teodoro,
  • Marina A. P. Andrade,
  • Teresa A. Oliveira

摘要

In the present work we compute and compare the numerical solution of Volterra integral linear and non-linear equations with continuous nucleus. Firstly it is considered the existence and uniqueness of the solution of the considered problems. Also, it is investigated the regularity of the solution. The numerical solution is computed rearranging the usual quadrature formulas in integration to obtain the numerical scheme. We finalize the work with the discussion of the results and final remarks.