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Publication Detailed Description
Comparing the Numerical Solution of Linear and Non-linear Volterra Integral Equations of Second Type
Innovations in Industrial Engineering IV
Year (definitive publication)
2025
Language
English
Country
Czech Republic
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Abstract
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.
Acknowledgements
The second author was supported by Fundação para a Ciência e aTecnologia, I. P. (FCT)[ISTARProjects:UIDB/04466/2020 and UIDP/04466/2020].
Keywords
integral equations,Volterra equation,numerical approach,computational algorithm,multistep method
Fields of Science and Technology Classification
- Physical Sciences - Natural Sciences
- Chemical Sciences - Natural Sciences
- Mechanical Engineering - Engineering and Technology
- Chemical Engineering - Engineering and Technology
