KASR TARTIBLI ODDIY DIFFERENSIAL TENGLAMALARNI EYLER USULIDA SONLI YECHISH
Keywords:
oddiy differensial tenglamalar, taqribiy hisoblash, Eyler usuli, Python dasturlash tiliAbstract
Ushbu maqolada kasr tartibli chiziqli va chiziqsiz oddiy differensial tenglamalarni taqribiy hisoblash uchun Eyler usulining umumlashtirilgan ko‘rinishidan foydalanilgan. Tadqiqot davomida Python dasturlash tilida tegishli algoritmlar ishlab chiqildi va integrallash qadami hamda maksimal absolut xatolik o‘rtasidagi bog‘liqlik o‘rganildi.
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Mechee M. Generalized Euler and Runge-Kutta methods for solving classes of fractional ordinary differential equations / M. Mechee, S. Aidi // International Journal of Nonlinear Analysis and Applications. – 2022. – Vol. 13. – P. 1737–1745. – DOI: 10.22075/ijnaa.2022.5788.
Li C. The Finite Difference Methods for Fractional Ordinary Differential Equations / C. Li, F. Zeng // Numerical Functional Analysis and Optimization. – 2013. – Vol. 34. – P. 149–179. – DOI: 10.1080/01630563.2012.706673.
Odibat Z. An algorithm for the numerical solution of differential equations of fractional order / Z. Odibat, S. Momani // Journal of Applied Mathematics & Informatics. – 2008. – Vol. 26. – P. 15–27.
Blaszczyk T. Using the Euler’s method to solve ordinary differential equations of higher order with a mixture of integer and Caputo derivatives / T. Blaszczyk, J. Leszczyński // [Journal title not specified]. – 2007. – Vol. 6. – P. 31–40.
Ahmed H. Fractional Euler method: an effective tool for solving fractional differential equations / H. Ahmed // Journal of the Egyptian Mathematical Society. – 2018. – Vol. 26. – P. 38–43. – DOI: 10.21608/joems.2018.9460.
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