Geodesic
A Bernstein polynomial approach for solution of nonlinear integral equations
Acar, Nese Isler 1 ; Dascioglu, Aysegul 2
1 Department of Mathematics, Faculty of Arts and Sciences, Mehmet Akif Ersoy University, Burdur, Turkey
2 Department of Mathematics, Faculty of Arts and Sciences, Pamukkale University, Denizli, Turkey
Journal of nonlinear sciences and its applications, Tome 10 (2017) no. 9, p. 4638-4647.

Voir la notice de l'article provenant de la source International Scientific Research Publications

In this study, a collocation method based on the generalized Bernstein polynomials is derivated for solving nonlinear Fredholm-Volterra integral equations (FVIEs) in the most general form via the quasilinearization technique. Moreover, quadratic convergence and error estimate of the proposed method is analyzed. Some examples are also presented to show the accuracy and applicability of the method. keywords
DOI : 10.22436/jnsa.010.09.07
Classification : 45A05, 45G10, 65L60
Keywords: Bernstein polynomial approach, nonlinear integral equations, quasilinearization technique, collocation method.

Acar, Nese Isler  1 ; Dascioglu, Aysegul  2

1 Department of Mathematics, Faculty of Arts and Sciences, Mehmet Akif Ersoy University, Burdur, Turkey
2 Department of Mathematics, Faculty of Arts and Sciences, Pamukkale University, Denizli, Turkey 
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Acar, Nese Isler ; Dascioglu, Aysegul . A Bernstein polynomial approach for solution of nonlinear integral equations. Journal of nonlinear sciences and its applications, Tome 10 (2017) no. 9, p. 4638-4647. doi : 10.22436/jnsa.010.09.07. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.010.09.07/

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