Approximate solution of nonlinear Fredholm integral equations of the second kind using a class of Hermite interpolation polynomials

Nasibeh Karamollahi, Mohammad Heydari and Ghasem Barid Loghmani

Mathematics and Computers in Simulation (MATCOM), 2021, vol. 187, issue C, 414-432

Abstract: A particular case of the Hermite interpolation method, namely the two-point Taylor formula, is utilized to construct a numerical technique for solving Fredholm integral equations (FIEs) of the second kind. This method can be applied to approximate the solution of both linear and nonlinear FIEs, and systems of nonlinear FIEs. The sufficient conditions to guarantee the convergence of the proposed method are provided through our analytical studies. Also, the error estimation is presented for this method. Furthermore, the efficiency of the method is confirmed by applying it to solve several illustrative examples. Numerical experiments confirm that the method is easy to implement and gives accurate approximations in acceptable computational times.

Keywords: Fredholm integral equations; Two-point Taylor formula; Convergence analysis (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:187:y:2021:i:c:p:414-432

DOI: 10.1016/j.matcom.2021.03.015

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