Numerical simulation of a singularly perturbed fourth order equation by preliminary integration method

Abdurakhimov, B.F., Juraeva, N.T., Абдурахимов, Б.Ф., Джураева, Н.Т.

Ҳисоблаш ва амалий математика муаммолари · 2024-yil

Annotatsiya

In this article, the numerical simulation of a boundary value problem for a fourth order inhomogeneous differential equation with a small parameter at the highest deriva tive is carried out using the preliminary integration method. The numerical calculations performed show the high accuracy and efficiency of the method for various values of the small parameter and approximating Chebyshev polynomials of the first kind.

Maqola ma’lumotlari
MualliflarAbdurakhimov, B.F., Juraeva, N.T., Абдурахимов, Б.Ф., Джураева, Н.Т.
JurnalҲисоблаш ва амалий математика муаммолари
NashriyotТошкент ахборот технологиялари университети қошидаги, Ахборот-коммуникация технологиялари илмий-инновацион, маркази
ISSN2181-8460, 2181-046X
Nashr sanasi2024-10-11
Son4
Betlar8-17
TilIngliz
Ilmiy sohaFizika-matematika
Indeksga qo‘shilgan2026-08-27

Kalit so‘zlar

preliminary integration method, integration constants, algebraic system, high accuracy, efficiency, метод предварительного интегрирования, константы интегрирования, алгебраическая система, высокая точность, эффективность

Ilmiy soha

Iqtibos keltirish

APAAbdurakhimov, B.F., Juraeva, N.T., Абдурахимов, Б.Ф., & Джураева, Н.Т. (2024). Numerical simulation of a singularly perturbed fourth order equation by preliminary integration method. Ҳисоблаш ва амалий математика муаммолари, (4), 8-17. https://journals.airi.uz/index.php/pvpm/article/view/29
GOST (OAK)Abdurakhimov, B.F. va b. Numerical simulation of a singularly perturbed fourth order equation by preliminary integration method // Ҳисоблаш ва амалий математика муаммолари. – 2024. – № 4. – P. 8-17.
MLAAbdurakhimov, B.F., Juraeva, N.T., Абдурахимов, Б.Ф., and Джураева, Н.Т. “Numerical simulation of a singularly perturbed fourth order equation by preliminary integration method.” Ҳисоблаш ва амалий математика муаммолари, (4), 8-17, 2024. https://journals.airi.uz/index.php/pvpm/article/view/29
ChicagoAbdurakhimov, B.F., Juraeva, N.T., Абдурахимов, Б.Ф., and Джураева, Н.Т. “Numerical simulation of a singularly perturbed fourth order equation by preliminary integration method.” Ҳисоблаш ва амалий математика муаммолари, (4), 8-17 (2024). https://journals.airi.uz/index.php/pvpm/article/view/29
HarvardAbdurakhimov, B.F., Juraeva, N.T., Абдурахимов, Б.Ф., and Джураева, Н.Т (2024) ‘Numerical simulation of a singularly perturbed fourth order equation by preliminary integration method’, Ҳисоблаш ва амалий математика муаммолари, (4), 8-17. https://journals.airi.uz/index.php/pvpm/article/view/29
BibTeX
@article{abdurakhimovbf2024,
  title = {Numerical simulation of a singularly perturbed fourth order equation by preliminary integration method},
  author = {Abdurakhimov, B.F. and Juraeva, N.T. and Абдурахимов, Б.Ф. and Джураева, Н.Т.},
  journal = {Ҳисоблаш ва амалий математика муаммолари},
  year = {2024},
  number = {4},
  pages = {8-17},
  url = {https://journals.airi.uz/index.php/pvpm/article/view/29}
}

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