Title of article
Toeplitz matrix method and nonlinear integral equation of Hammerstein type
Author/Authors
Abdou، نويسنده , , M.A. and El-Borai، نويسنده , , M.M. and El-Kojok، نويسنده , , M.M.، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2009
Pages
12
From page
765
To page
776
Abstract
The existence and uniqueness solution of the nonlinear integral equation of Hammerstein type with discontinuous kernel are discussed. The normality and continuity of the integral operator are proved. Toeplitz matrix method is used, as a numerical method, to obtain a nonlinear system of algebraic equations. Also, many important theorems related to the existence and uniqueness of the produced algebraic system are derived. Finally, numerical examples, when the kernel takes a logarithmic and Carleman forms, are discussed and the estimate error, in each case, is calculated.
Keywords
Nonlinear Integral Equation , Hammerstein type , Toeplitz matrix method , Nonlinear algebraic system
Journal title
Journal of Computational and Applied Mathematics
Serial Year
2009
Journal title
Journal of Computational and Applied Mathematics
Record number
1554744
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