Legendre superconvergent degenerate kernel and Nyström methods for nonlinear integral equations

• Datum: 2023
• Hauptverfasser: Allouch, C., Arrai, M., Bouda, H., Tahrichi, M.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2023
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/7039
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.9 We study polynomially based superconvergent collocation methods for the approximation of solutions of nonlinear integral equations. The superconvergent degenerate kernel method is chosen for approximating the solutions of Hammerstein equations, while a superconvergent Ny...