KUBIK SPLAYN USULI VA UNING SONLI MODELLASHTIRISHDAGI QO‘LLANILISHI
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Аннотация:
Hozirgi zamon ilm-fanida sonli usullar murakkab funksiyalarni tahlil qilish, differensial va integral tenglamalarni yechish hamda tajriba natijalarini silliq interpolatsiya qilishda keng qo‘llanilmoqda. Shunday samarali usullardan biri — kubik splayn (yoki kubik bo‘lakli interpolatsiya) usulidir. Ushbu usulning afzalligi shundaki, u berilgan nuqtalar orasida funksiyani silliq, uzluksiz va birinchi hamda ikkinchi tartibli hosilalari bo‘yicha uzluksiz shaklda tiklash imkonini beradi.
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Библиографические ссылки:
Schoenberg, I. J. (1946). Contributions to the Problem of Approximation of Equidistant Data by Analytic Functions. Quarterly of Applied Mathematics, 4(1), 45–99.
De Boor, C. (1978). A Practical Guide to Splines. Springer-Verlag, New York.
Burden, R. L., & Faires, J. D. (2011). Numerical Analysis. 9th Edition, Brooks/Cole, Cengage Learning.
Chapra, S. C., & Canale, R. P. (2015). Numerical Methods for Engineers. McGraw-Hill Education.
Press, W. H., Teukolsky, S. A., Vetterling, W. T., & Flannery, B. P. (2007). Numerical Recipes: The Art of Scientific Computing. Cambridge University Press.
Бахвалов, Н. С., Жидков, Н. П., Кобельков, Г. М. (2001). Численные методы. Москва: БИНОМ.
Самарский, А. А., Гулин, А. В. (1989). Численные методы. Москва: Наука.
Маткаримов, Б. Т., & Рўзиев, Ш. М. (2019). Sonli tahlil va interpolatsiya usullari. Toshkent: O‘zbekiston Milliy Universiteti nashriyoti.
Хайдаров, А. А. (2020). Sonli usullar nazariyasi va amaliyoti. Toshkent: Fan va texnologiya nashriyoti.
Ilhomov, I. A. (2025). Kubik splayn usuli yordamida fizik jarayonlarni modellashtirish. (Qo‘lyozma, Zamonaviy Sharq universiteti).