Abstract
In this paper, we discuss the discrete Legendre collocation methods for Fredholm–Hammerstein integral equations with the weakly singular kernel. Using sufficiently accurate quadrature rule, we obtain the convergence rates for the discrete Legendre collocation solutions to the actual solution in both \(L^2\) and infinity norm. Numerical examples are presented to validate the theoretical estimates.
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Panigrahi, B.L. (2018). Discrete Legendre Collocation Methods for Fredholm–Hammerstein Integral Equations with Weakly Singular Kernel. In: Ghosh, D., Giri, D., Mohapatra, R., Sakurai, K., Savas, E., Som, T. (eds) Mathematics and Computing. ICMC 2018. Springer Proceedings in Mathematics & Statistics, vol 253. Springer, Singapore. https://doi.org/10.1007/978-981-13-2095-8_25
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DOI: https://doi.org/10.1007/978-981-13-2095-8_25
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