Using operational matrix of two-dimensional Bernstein polynomials for solving two-dimensional integral equations of fractional order

M. Asgari and R. Ezzati

Applied Mathematics and Computation, 2017, vol. 307, issue C, 290-298

Abstract: In this paper, we first preset two-dimensional Bernstein polynomials operational matrix (2DBPOM) for two-dimensional fractional integral equations (2DFIE). Then, we introduce a computational method based on 2DBPOM to reduce the 2DFIE to those of solving a system of algebraic equations. Also, we give the error analysis. Finally, this method is applied for solving three examples to illustrate the applicability and accuracy of presented method.

Keywords: Two-dimensional fractional integral equations; Two-dimensional Bernstein polynomials; Fractional operational matrix (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (6)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:307:y:2017:i:c:p:290-298

DOI: 10.1016/j.amc.2017.03.012

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