Method without accuracy saturation for the solution of nonlocal multipoint problem for first-order evolutionary differential equation in Banach space.

• Datum: 2020
• Hauptverfasser: Vasylyk, V.B., Sytnyk, D.O., Komaschenko, N.O., В.Б., Сытнык, Д.А., Комащенко, Н.О., Василик, В.Б., Ситник, Д.О.
• Format: Artikel
• Sprache: Ukrainisch; Englisch
• Veröffentlicht: Інститут математики НАН України 2020
• Online Zugang: https://trim.imath.kiev.ua/index.php/trim/article/view/391
• Назва журналу: Transactions of Institute of Mathematics of NAS of Ukraine

A method without accuracy saturation is developed to solve a nonlocal multipoint problem for first-order evolutionary differential equation with an unbounded operator coefficient in Banach space. The method is based on the application of collocations at the Chebyshev nodes to the integral equation g...