Bernstein Collocation Method for Solving Nonlinear Fredholm-Volterra Integrodifferential Equations in the Most General Form

Autor:	Neşe İşler Acar, Ayşegül Akyüz-Daşcıoğlu, Coşkun Güler
Jazyk:	angličtina
Rok vydání:	2014
Předmět:	Nonlinear system Collocation Article Subject Applied Mathematics Collocation method lcsh:Mathematics Mathematical analysis Orthogonal collocation Interval (mathematics) lcsh:QA1-939 Bernstein polynomial Mathematics
Zdroj:	Journal of Applied Mathematics, Vol 2014 (2014) J. Appl. Math.
ISSN:	1687-0042
Popis:	A collocation method based on the Bernstein polynomials defined on the interval[a,b]is developed for approximate solutions of the Fredholm-Volterra integrodifferential equation (FVIDE) in the most general form. This method is reduced to linear FVIDE via the collocation points and quasilinearization technique. Some numerical examples are also given to demonstrate the applicability, accuracy, and efficiency of the proposed method.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4a3be7f83c9fed54e4a0b3adc24f1385 https://doaj.org/article/cd1fd7dbc5f341fbbb6fed2cc0486c63 Zobrazit plný text záznamu Plný text