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Tau approximation method for the weakly singular Volterra–Hammerstein integral equations

Author

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  • Nili Ahmadabadi, M.
  • Laeli Dastjerdi, H.

Abstract

In this paper, we propose a useful method based on the Tau method with arbitrary bases to find the numerical solution of weakly singular Voletrra–Hammerstein integral equations. In this scheme an operational approach using the orthogonal polynomial bases is presented for converting the problem under consideration to its matrix–vector representation. Error analysis of this method is also presented. Some numerical examples are provided to illustrate the accuracy and computational efficiency of the method.

Suggested Citation

  • Nili Ahmadabadi, M. & Laeli Dastjerdi, H., 2016. "Tau approximation method for the weakly singular Volterra–Hammerstein integral equations," Applied Mathematics and Computation, Elsevier, vol. 285(C), pages 241-247.
    • Handle: RePEc:eee:apmaco:v:285:y:2016:i:c:p:241-247
    DOI: 10.1016/j.amc.2016.03.038
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    Cited by:

    1. Ezz-Eldien, S.S., 2018. "On solving systems of multi-pantograph equations via spectral tau method," Applied Mathematics and Computation, Elsevier, vol. 321(C), pages 63-73.

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