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An Augmented Galerkin Algorithms for First Kind Integral Equations of Hammerstein type
uarterly Journal of Science, University for Teacher Education (1996)
  • S. Abbasbandy
  • E. Babolian
Abstract

Recent papers, [1],[2] & [3], describe some algorithms for linear first kind integral equations. These algorithms are based on augmented Galerkin method and Cross-validation scheme [5]. The results show that, these algorithms work well for linear equations. In this paper we apply algorithms of [1] & [2] on non-linear first kind integral equations of Hammerstein type with bounded solution. In order to obtain a posteriori error estimate, we apply fifteen-point Gauss-Kronrod quadrature rule [4]. Finally, we give a number of numerical examples showing that the algorithms work well in practice.

Publication Date
1996
Citation Information
S. Abbasbandy and E. Babolian. "An Augmented Galerkin Algorithms for First Kind Integral Equations of Hammerstein type" uarterly Journal of Science, University for Teacher Education Vol. 7 Iss. 1-2 (1996)
Available at: http://works.bepress.com/saeid_abbasbandy/5/