Numerical solutions of integral and integro-differential equations using Chebyshev polynomials of the third kind

M.R.A. Sakran

Applied Mathematics and Computation, 2019, vol. 351, issue C, 66-82

Abstract: Our purpose in this study is to construct an algorithm based on the use of a finite expansion in Chebyshev polynomials of the third kind to solve singularly perturbed Volterra integral equations, first order integro-differential equations of Volterra type arising in fluid dynamics and Volterra delay integro-differential equations. The convergence of the method is investigated. Finally, some numerical experiments, which confirm the theoretical results, are shown and comparisons with other methods in literature are given.

Keywords: Volterra integral equations; Singularly perturbed Volterra integral equations; Integro-ordinary differential equations in fluid dynamics; Delay integro differential equations; Chebyshev polynomials of the third kind and error analysis (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:351:y:2019:i:c:p:66-82

DOI: 10.1016/j.amc.2019.01.030

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