Abstract
In this paper, we consider the Galerkin and iterated Galerkin methods for solving Fredholm-Hammestein integral equations with a Green’s kernel, whose first derivative has singularity. We obtain error bounds and convergence rates for both the Galerkin and iterated Galerkin methods using graded mesh. In fact, by choosing the grading exponent appropriately, we obtain superconvergence results in iterated Galerkin method.
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Das, P., Nahid, N., Nelakanti, G. (2020). Superconvergence of Iterated Galerkin Method for a Class of Nonlinear Fredholm Integral Equations. In: Castillo, O., Jana, D., Giri, D., Ahmed, A. (eds) Recent Advances in Intelligent Information Systems and Applied Mathematics. ICITAM 2019. Studies in Computational Intelligence, vol 863. Springer, Cham. https://doi.org/10.1007/978-3-030-34152-7_5
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DOI: https://doi.org/10.1007/978-3-030-34152-7_5
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