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

Ayşegül Daşçıoğlu | Zendy; Neşe İşler Acar | Zendy; Coşkun Güler | Zendy

Open Access

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

Author(s) -

Ayşegül Daşçıoğlu,

Neşe İşler Acar,

Coşkun Güler

Publication year - 2014

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2014/134272

Subject(s) - collocation (remote sensing) , collocation method , nonlinear system , mathematics , computer science , mathematical analysis , physics , differential equation , ordinary differential equation , quantum mechanics , machine learning

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

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