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IJBAS International Journal of Basic and Applied Sciences E-ISSN 2227-5053

Hammerstein integral equation with a generalized singular kernel

Authors and Affiliations

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

About this article

DOI
https://doi.org/10.14419/ijbas.v2i1.601
Received
2012-12-17
Accepted
2013-01-01
Published
2013-01-28
Views
695
Downloads
304
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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

References

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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

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