YUQORI TARTIBLI XOSILA OLDIDA KICHIK PARAMETR BO‘LGAN TENGLAMALARNI SONLI MODELLASHTIRISH

Authors

  • Chori Normurodov Begaliyevich TerDU, “Amaliy matematika” kafedrasi professori, Email: ch.normurodov@gmail.com Author
  • Elbek Choriyev Erkin o’g’li Termiz Davlat Universiteti , “Amaliy matematika” kafedrasi magistranti. Email: elbekc8@gmail.com Author

Keywords:

differensial tenglama, modellashtirish, matematik model, chegaraviy shart, boshlang`ich shart.

Abstract

Yuqori tartibli differensial tenglamalar (ya'ni, n-chi tartibli hosilasi mavjud bo‘lgan tenglamalar) real tizimlarni tavsiflashda keng qo‘llaniladi. Bu tenglamalar, masalan, fizikada, mexanikada, kimyo va biologiya sohalarida kuzatiladigan jarayonlarning modellashtirishida muhim ahamiyatga ega.

References

1. Lions, J.L., Magenes, E. (1972). Non-homogeneous Boundary Value Problems and Applications. Springer-Verlag, Berlin.

2. Kirk, D.E. (2011). Optimal Control Theory: An Introduction. Dover Publications.

3. Ascher, U., Greif, C. (2000). Numerical Methods for Differential Equations. SIAM, Philadelphia.

4. Butcher, J.C. (2016). Numerical Methods for Ordinary Differential Equations. Wiley, Hoboken.

5. Iserles, A. (2009). A First Course in the Numerical Analysis of Differential Equations. Cambridge University Press.

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Published

2024-12-30