Numerical approach for nonlinear Volterra integro-differential equations based on barycentric rational interpolation
Sign Up to like & getrecommendations! Published in 2025 at "International Journal of Computer Mathematics"
DOI: 10.1080/00207160.2025.2469836
Abstract: This paper embarks on the numerical solution to nonlinear Volterra integro-differential equations, harnessing the barycentric rational interpolation. The derivative is approximated by the barycentric rational differential matrix, while the integral is numerically computed by the… read more here.
Keywords: differential equations; rational interpolation; integro differential; volterra integro ... See more keywords
Rational interpolation with parameters based on Chebyshev nodes
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DOI: 10.2298/fil2411945y
Abstract: A type of rational interpolation operator (RIO) with parameter ? is studied in this paper. We give the specific construction of RIO based on Chebyshev nodes of the fourth kind, and calculate the approximation order… read more here.
Keywords: chebyshev nodes; rational interpolation; interpolation parameters; parameters based ... See more keywords