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Numerical solution of Fredholm integral equations by the least squares method using QR decomposition | ||
| Journal of Mathematical Modeling | ||
| دوره 14، شماره 1، خرداد 2026، صفحه 273-284 اصل مقاله (204.93 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22124/jmm.2025.31188.2795 | ||
| نویسندگان | ||
| Mahdi Ahmadinia* ؛ Mokhtar Abbasi | ||
| Alghadir Blvd University of Qom | ||
| چکیده | ||
| This paper presents a numerical method for solving the second-kind Fredholm integral equations using the least squares approach via QR decomposition. The proposed technique employs Gaussian quadrature for numerical integration and efficiently applies QR decomposition for minimization. This strategy not only simplifies the implementation but also significantly enhances computational performance. A convergence analysis is provided, and several numerical examples demonstrate the accuracy and effectiveness of the method compared to traditional technique. | ||
| کلیدواژهها | ||
| Least squares method؛ QR decomposition؛ Gauss quadrature rule؛ Fredholm integral equations | ||
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آمار تعداد مشاهده مقاله: 85 تعداد دریافت فایل اصل مقاله: 149 |
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