A Bernstein polynomial approach for solution of nonlinear integral equations

Volume 10, Issue 9, pp 4638--4647 http://dx.doi.org/10.22436/jnsa.010.09.07

Publication Date: September 08, 2017 Submission Date: June 23, 2017

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Authors

Nese Isler Acar - Department of Mathematics, Faculty of Arts and Sciences, Mehmet Akif Ersoy University, Burdur, Turkey. Aysegul Dascioglu - Department of Mathematics, Faculty of Arts and Sciences, Pamukkale University, Denizli, Turkey.

Abstract

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

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ISRP Style

Nese Isler Acar, Aysegul Dascioglu, A Bernstein polynomial approach for solution of nonlinear integral equations, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 9, 4638--4647

AMA Style

Acar Nese Isler, Dascioglu Aysegul, A Bernstein polynomial approach for solution of nonlinear integral equations. J. Nonlinear Sci. Appl. (2017); 10(9):4638--4647

Chicago/Turabian Style

Acar, Nese Isler, Dascioglu, Aysegul. "A Bernstein polynomial approach for solution of nonlinear integral equations." Journal of Nonlinear Sciences and Applications, 10, no. 9 (2017): 4638--4647

Keywords

Bernstein polynomial approach
nonlinear integral equations
quasilinearization technique
collocation method.

MSC

45A05
45G10
65L60

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