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

DOI:

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