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Laguerre-Chebyshev Petrov-Galerkin method for solving integral equations | ||
| International Journal of Nonlinear Analysis and Applications | ||
| دوره 13، شماره 1، خرداد 2022، صفحه 3227-3237 اصل مقاله (442.57 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.6074 | ||
| نویسندگان | ||
| Ali Kadhim Munaty؛ Hameeda Oda Al-Humedi | ||
| Department of Mathematics, College of Education for Pure Sciences, University of Basrah, Basrah, Iraq | ||
| تاریخ دریافت: 15 مهر 1400، تاریخ بازنگری: 10 آبان 1400، تاریخ پذیرش: 29 آذر 1400 | ||
| چکیده | ||
| This project aims to solve the second kind of Volterra, Fredholm integrodifferential equations, and mixed integral equations (VIDE, FIDEs and MIEs respectively) will be solved using the Laguerre-Chebyshev Petrov-Galerkin method (PGM). By solving three cases to show how the recommended technique works in this study, we established the PGM to find the approximate solution for linear VIDEs, FIDEs, and MIEs. | ||
| کلیدواژه‌ها | ||
| Integral equation؛ Laguerre-Chebyshev؛ Petrov-Galerkin method؛ Orthogonal polynomial؛ Convergence analysis | ||
| مراجع | ||
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