A linear approximation for solutions of Abel–Volterra integral equations

A linear approximation for solutions of Abel–Volterra integral equations

In this work, we present a modified linear approximation for solving the first and the second kind Abel–Volterra integral equations. This approximation was used by the author to approximate a weakly singular integral on the curve. Noting that this new technique gives a good approximation of these so...

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Veröffentlicht in:São Paulo Journal of Mathematical Sciences 2020-12, Vol.14 (2), p.596-604
1. Verfasser: Nadir, Mostefa
Format: Artikel
Sprache:eng
Schlagworte:
Approximation
Integral equations
Mathematics
Mathematics and Statistics
Numerical methods
Original Article
Volterra integral equations
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Beschreibung
Zusammenfassung:In this work, we present a modified linear approximation for solving the first and the second kind Abel–Volterra integral equations. This approximation was used by the author to approximate a weakly singular integral on the curve. Noting that this new technique gives a good approximation of these solutions compared with several methods in several numerical examples.
ISSN:1982-6907
2316-9028
2306-9028
DOI:10.1007/s40863-020-00168-2