In this paper, we present a novel and exible numerical method to solvenon-standard Volterra integral equations of the second kind. Starting from the mean-value theorem for integrals we give theoretical results that allow associating to each Volterra integral equation a system of non-linear equations that is solved by mean of a numerical method. The algorithm produces very accurate numerical solutions and it is very fast. To test the tness of our method, we applied it to some examples.
Non-standard Volterra integral equations: a mean-value theorem numerical approach / De Angelis, Paolo; De Marchis, Roberto; Martire, Antonio Luciano; Patri', Stefano. - In: APPLIED MATHEMATICAL SCIENCES. - ISSN 1314-7552. - 14:9(2020), pp. 423-432.
Titolo: | Non-standard Volterra integral equations: a mean-value theorem numerical approach | |
Autori: | ||
Data di pubblicazione: | 2020 | |
Rivista: | ||
Citazione: | Non-standard Volterra integral equations: a mean-value theorem numerical approach / De Angelis, Paolo; De Marchis, Roberto; Martire, Antonio Luciano; Patri', Stefano. - In: APPLIED MATHEMATICAL SCIENCES. - ISSN 1314-7552. - 14:9(2020), pp. 423-432. | |
Handle: | http://hdl.handle.net/11573/1419946 | |
Appartiene alla tipologia: | 01a Articolo in rivista |
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