A collocation method to the solution of nonlinear fredholm-hammerstein integral and integro-differential equation
This paper presents a computational technique for the solution of the nonlinear Fredholm-Hammerstein integral and integrodifferential equations. A hybrid of block-pulse functions and the second kind Chebyshev polynomials (hereafter called as HBC) is used to approximate the nonlinear Fredholm-Hammers...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
University of Mohaghegh Ardabili
2013-06-01
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| Series: | Journal of Hyperstructures |
| Subjects: | |
| Online Access: | https://jhs.uma.ac.ir/article_2556_bb20a2dc925754473b1decc0a6ff6557.pdf |
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| Summary: | This paper presents a computational technique for the solution of the nonlinear Fredholm-Hammerstein integral and integrodifferential equations. A hybrid of block-pulse functions and the second kind Chebyshev polynomials (hereafter called as HBC) is used to approximate the nonlinear Fredholm-Hammerstein integral and integro-differential equations. The main properties of HBC are presented. Also, the operational matrix of integration together with the Newton-Cotes nodes are applied to reduce the computation of the nonlinear Fredholm-Hammerstein integral and integrodifferential equations into some algebraic equations. The efficiency and accuracy of the proposed method have been shown by three numerical examples. |
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| ISSN: | 2251-8436 2322-1666 |