Hammerstein integral equation with a generalized singular kernel

  • Authors

    • Abeer Majed AL-Bugami Department of Mathematics Faculty of Applied Sciences, Taif University

    Received date: December 17, 2012

    Accepted date: January 1, 2013

    Published date: January 28, 2013

    https://doi.org/10.14419/ijbas.v2i1.601

  • Abstract

    In this work, the Hammerstein integral equation (HIE), with a generalized singular kernel, is considered and solved numerically, using Product Trapezoidal rule, Toeplitz matrix method and Product Nystrom method. The existence and uniqueness solution, under certain conditions, are considered. Moreover, numerical results when the kernel takes a generalized logarithmic form, Carleman function and Cauchy kernel are investigated. Also the error, in each case, is estimated.

    Author Biography

    • Abeer Majed AL-Bugami, Department of Mathematics Faculty of Applied Sciences, Taif University
      Department of Mathematics, Faculty of Applied Sciences, Taif University

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  • How to Cite

    AL-Bugami, A. M. (2013). Hammerstein integral equation with a generalized singular kernel. International Journal of Basic and Applied Sciences, 2(1), 91-102. https://doi.org/10.14419/ijbas.v2i1.601

    Received date: December 17, 2012

    Accepted date: January 1, 2013

    Published date: January 28, 2013