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Least squares approximation method for the solution of Hammerstein–Volterra delay integral equations

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  • Mosleh, Maryam
  • Otadi, Mahmood

Abstract

In this paper, an efficient numerical method is developed for solving the Hammerstein–Volterra delay integral equations by least squares (LS) approximation method, which is based on a polynomial of degree n to compute an approximation to the solution of Hammerstein–Volterra delay integral equations. The convergence analysis of the approximation solution relative to the exact solution of the integral equation is proved and its accuracy is illustrated on two numerical examples. The study of this integral equation is important because it has as a particular case the variant of a mathematical model from epidemiology.

Suggested Citation

  • Mosleh, Maryam & Otadi, Mahmood, 2015. "Least squares approximation method for the solution of Hammerstein–Volterra delay integral equations," Applied Mathematics and Computation, Elsevier, vol. 258(C), pages 105-110.
    • Handle: RePEc:eee:apmaco:v:258:y:2015:i:c:p:105-110
    DOI: 10.1016/j.amc.2015.01.100
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    References listed on IDEAS

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    1. Abbasbandy, S., 2007. "Application of He’s homotopy perturbation method to functional integral equations," Chaos, Solitons & Fractals, Elsevier, vol. 31(5), pages 1243-1247.
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    Cited by:

    1. Xie, Lie-jun & Zhou, Cai-lian & Xu, Song, 2018. "An effective computational method for solving linear multi-point boundary value problems," Applied Mathematics and Computation, Elsevier, vol. 321(C), pages 255-266.
    2. Li Zhang & Jin Huang & Hu Li & Yifei Wang, 2021. "Extrapolation Method for Non-Linear Weakly Singular Volterra Integral Equation with Time Delay," Mathematics, MDPI, vol. 9(16), pages 1-19, August.
    3. Li Zhang & Jin Huang & Yubin Pan & Xiaoxia Wen, 2019. "A Mechanical Quadrature Method for Solving Delay Volterra Integral Equation with Weakly Singular Kernels," Complexity, Hindawi, vol. 2019, pages 1-12, June.

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