A Generalized Barycentric Rational Interpolation Method for Generalized Abel Integral Equations
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Date
2020
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Springer
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Green Open Access
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Abstract
The paper is devoted to the numerical solution of generalized Abel integral equation. First, the generalized barycentric rational interpolants have been introduced and their properties investigated thoroughly. Then, a numerical method based on these barycentric rational interpolations and the Legendre–Gauss quadrature rule is developed for solving the generalized Abel integral equation. The main advantages of the presented method is that it provides an infinitely smooth approximate solution with no real poles for the generalized Abel integral equation. © 2020, Springer Nature India Private Limited.
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Keywords
Error Analysis, Generalized Abel Integral Equation, Generalized Barycentric Rational Interpolation, Legendre–Gauss Quadrature, Approximation by rational functions, Volterra integral equations, generalized barycentric rational interpolation, Legendre-Gauss quadrature, generalized Abel integral equation, Numerical methods for integral equations, Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type), Numerical quadrature and cubature formulas, error analysis
Fields of Science
0101 mathematics, 01 natural sciences
Citation
Azin, H.; Mohammadi, F.; Baleanu, Dumitru (2020). "A Generalized Barycentric Rational Interpolation Method for Generalized Abel Integral Equations", International Journal of Applied and Computational Mathematics, Vol. 6, No. 5.
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Q2
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2
Source
International Journal of Applied and Computational Mathematics
Volume
6
Issue
5
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