Bernstein Collocation Method for Solving Nonlinear Fredholm-Volterra Integrodifferential Equations in the Most General Form-Reference-Cited by-同舟云学术

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

Published:2014 Issue: Volume:2014 Page:1-8
ISSN:1110-757X
Container-title:Journal of Applied Mathematics
language:en
Short-container-title:Journal of Applied Mathematics

Author:

Akyüz-Daşcıoğlu Ayşegül¹,İşler Acar Neşe²,Güler Coşkun³

Affiliation:

1. Department of Mathematics, Faculty of Arts & Sciences, Pamukkale University, 20070 Denizli, Turkey

2. Department of Mathematics, Faculty of Arts & Sciences, Mehmet Akif Ersoy University, 15030 Burdur, Turkey

3. Department of Mathematical Engineering, Faculty of Chemistry and Metallurgy, Yildiz Technical University, 34210 Istanbul, Turkey

Abstract

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.

Publisher

Hindawi Limited

Subject

Applied Mathematics

Link

http://downloads.hindawi.com/journals/jam/2014/134272.pdf

Reference32 articles.

1. Iterative methods for a fourth order boundary value problem

2. Bernstein Collocation Method for Solving Nonlinear Differential Equations

3. Modified quasilinearization technique for the solution of boundary-value problems for ordinary differential equations

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