A NUMERICAL METHOD FOR SOLVING SINGULAR INTEGRAL EQUATIONS WITH PIECEWISE CONTINUOUS COEFFICIENTS
| dc.contributor.author | Capcelea, Maria | |
| dc.contributor.author | Capcelea, Titu | |
| dc.date.accessioned | 2025-03-20T07:17:52Z | |
| dc.date.issued | 2024 | |
| dc.description.abstract | The present study is dedicated to developing an efficient computational scheme for solving the Cauchy singular integral equation, defined on a closed and smooth contour in the complex plane. The coefficients and the right-hand side of the equation are piecewise continuous functions, numerically defined on a finite set of points along the contour. The approximate solution is constructed as a linear combination of B-spline functions and Heaviside functions, with coefficients determined using the collocation method. This method generates a sequence of approximations that converge almost uniformly to the exact solution of the equation. | en |
| dc.description.sponsorship | 011302 MANSDP - Metode analitice și numerice de soluționare a problemelor stocastice dinamice decizionale | ro |
| dc.identifier.citation | CAPCELEA, Maria and Titu CAPCELEA. Numerical method for solving singular integral equations with piecewise continuous coefficients. In: Integrare prin cercetare și inovare: conferință științifică națională cu participare internațională. Științe exacte și ale naturii, Chișinău, 7-8 noiembrie, 2024. Chișinău: CEP USM, 2024, pp. 726-733. ISBN 978-9975-62-808-2 (PDF). Disponibil: https://doi.org/10.59295/spd2024n.100 | en |
| dc.identifier.doi | https://doi.org/10.59295/spd2024n.100 | |
| dc.identifier.isbn | 978-9975-62-808-2 (PDF) | |
| dc.identifier.uri | https://doi.org/10.59295/spd2024n.100 | |
| dc.identifier.uri | https://msuir.usm.md/handle/123456789/17174 | |
| dc.language.iso | en | |
| dc.publisher | CEP USM | |
| dc.subject | singular integral equation | en |
| dc.subject | piecewise continuous coefficients | en |
| dc.subject | computational scheme | en |
| dc.subject | B-spline functions | en |
| dc.title | A NUMERICAL METHOD FOR SOLVING SINGULAR INTEGRAL EQUATIONS WITH PIECEWISE CONTINUOUS COEFFICIENTS | en |
| dc.title.alternative | O METODă NUMERICă PENTRU REZOLVAREA ECUATIILOR INTEGRALE SINGULARE CU COEFICIENȚI CONTINUI PE PORȚIUNI | en |
| dc.type | Article |