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

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  • Sakran, M.R.A.

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.

Suggested Citation

  • Sakran, M.R.A., 2019. "Numerical solutions of integral and integro-differential equations using Chebyshev polynomials of the third kind," Applied Mathematics and Computation, Elsevier, vol. 351(C), pages 66-82.
    • Handle: RePEc:eee:apmaco:v:351:y:2019:i:c:p:66-82
    DOI: 10.1016/j.amc.2019.01.030
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    Cited by:

    1. Kenzu Abdella & Glen Ross, 2020. "Solving Integro-Differential Boundary Value Problems Using Sinc-Derivative Collocation," Mathematics, MDPI, vol. 8(9), pages 1-13, September.

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