SPECTRAL METHOD BASED ON BERNSTEIN POLYNOMIALS FOR COUPLED SYSTEM OF FREDHOLM INTEGRAL EQUATIONS
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Date
2016
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Abstract
In this paper, we apply Bernstein basis to solve the coupled system of Fredholm integral equations (CSFIE). This method transforms the problem to a system of linear algebraic equations that easily solvable. On the other hand, convergence analysis of this method is discussed. the examples show that the proposed method is implemented very simple and the results have high accuracy.
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Bernstein Polynomials, Coupled System, Fredholm Integral, Convergence Analysis
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Alipour, Mohsen; Baleanu, Dumitru; Karimi, Kobra (2016). "SPECTRAL METHOD BASED ON BERNSTEIN POLYNOMIALS FOR COUPLED SYSTEM OF FREDHOLM INTEGRAL EQUATIONS", APPLIED AND COMPUTATIONAL MATHEMATICS, Vol. 15, No. 2, pp. 212-219.
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APPLIED AND COMPUTATIONAL MATHEMATICS
Volume
15
Issue
2
Start Page
212
End Page
219