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M. Filomena Teodoro, Andrade, M. A. P. & Teresa A. Oliveira (2025). Comparing the Numerical Solution of Linear and Non-linear Volterra Integral Equations of Second Type. In Innovations in Industrial Engineering IV. (pp. 537-550).
M. F. Teodoro et al., "Comparing the Numerical Solution of Linear and Non-linear Volterra Integral Equations of Second Type", in Innovations in Industrial Engineering IV, 2025, pp. 537-550
@inproceedings{teodoro2025_1777892480507,
author = "M. Filomena Teodoro and Andrade, M. A. P. and Teresa A. Oliveira",
title = "Comparing the Numerical Solution of Linear and Non-linear Volterra Integral Equations of Second Type",
booktitle = "Innovations in Industrial Engineering IV",
year = "2025",
editor = "",
volume = "",
number = "",
series = "",
doi = "10.1007/978-3-031-94484-0_44",
pages = "537-550",
publisher = "",
address = "",
organization = ""
}
TY - CPAPER TI - Comparing the Numerical Solution of Linear and Non-linear Volterra Integral Equations of Second Type T2 - Innovations in Industrial Engineering IV AU - M. Filomena Teodoro AU - Andrade, M. A. P. AU - Teresa A. Oliveira PY - 2025 SP - 537-550 SN - 2195-4356 DO - 10.1007/978-3-031-94484-0_44 AB - 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. ER -
English