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Two cubic spline methods for solving Fredholm integral equations

Author

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  • Bellour, A.
  • Sbibih, D.
  • Zidna, A.

Abstract

In this work, we propose two methods based on the use of natural and quasi cubic spline interpolations for approximating the solution of the second kind Fredholm integral equations. Convergence analysis is established. Some numerical examples are given to show the validity of the presented methods.

Suggested Citation

  • Bellour, A. & Sbibih, D. & Zidna, A., 2016. "Two cubic spline methods for solving Fredholm integral equations," Applied Mathematics and Computation, Elsevier, vol. 276(C), pages 1-11.
    • Handle: RePEc:eee:apmaco:v:276:y:2016:i:c:p:1-11
    DOI: 10.1016/j.amc.2015.11.055
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    References listed on IDEAS

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    1. Allouch, C. & Sablonnière, P., 2014. "Iteration methods for Fredholm integral equations of the second kind based on spline quasi-interpolants," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 99(C), pages 19-27.
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    Cited by:

    1. Parand, K. & Aghaei, A.A. & Jani, M. & Ghodsi, A., 2021. "A new approach to the numerical solution of Fredholm integral equations using least squares-support vector regression," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 180(C), pages 114-128.

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