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A collocation method to the solution of nonlinear fredholm-hammerstein integral and integro-differential equation | ||
| Journal of Hyperstructures | ||
| دوره 2، شماره 1، شهریور 2013، صفحه 72-86 اصل مقاله (353.71 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22098/jhs.2013.2556 | ||
| نویسندگان | ||
| F. Mirzaee* ؛ Elham Hadadiyan | ||
| Department of Mathematics, Faculty of Science, Malayer University, Malayer, 65719- 95863, Iran. | ||
| چکیده | ||
| 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. | ||
| کلیدواژه‌ها | ||
| Nonlinear Fredholm-Hammerstein integral equation؛ Block-pulse function؛ Second kind Chebyshev polynomial؛ Collocation method | ||
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آمار تعداد مشاهده مقاله: 53 تعداد دریافت فایل اصل مقاله: 61 |
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