Open AccessA variant of the collocation method for the Fredholm integral equations of the second kind
Author(s) -
S.A. Solovyeva
Publication year - 2017
Publication title -
vyčislitelʹnye metody i programmirovanie
Language(s) - English
Resource type - Journals
eISSN - 1726-3522
pISSN - 0507-5386
DOI - 10.26089/nummet.v18r216
Subject(s) - fredholm integral equation , mathematics , integral equation , fredholm theory , collocation (remote sensing) , collocation method , mathematical analysis , space (punctuation) , computer science , differential equation , ordinary differential equation , machine learning , operating system
Предложен и теоретически обоснован специальный вариант метода коллокации на базе полиномов Бернштейна приближенного решения интегральных уравнений Фредгольма второго рода в пространстве гладких функций. A special variant of the collocation method based on Bernstein polynomials is proposed and theoretically substantiated for the approximate solution of Fredholm integral equations of the second kind in the space of smooth functions.