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

M. Nili Ahmadabadi and H. Laeli Dastjerdi

Applied Mathematics and Computation, 2016, vol. 285, issue C, 241-247

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.

Keywords: Weakly singular Volterra–Hammerstein integral equations; Tau method; Polynomial approximation; Numerical treatment (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:285:y:2016:i:c:p:241-247

DOI: 10.1016/j.amc.2016.03.038

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