STUDY OF ASYMPTOTIC SOLUTIONS OF SYSTEMS OF SINGULARLY PERTURBED DIFFERENTIAL EQUATIONS WITH TURNING POINTS

  • V. V. Sobchuk Mechanics and Mathematics Faculty, Taras Shevchenko National University of Kyiv, Kyiv, Ukraine
  • I. O. Zelenska Mechanics and Mathematics Faculty, Taras Shevchenko National University of Kyiv, Kyiv, Ukraine
DOI: https://doi.org/10.17721/2706-9699.2022.2.17
Keywords: singularly perturbed equations, Airy functions, turning point

Abstract

We study a system with a small parameter at the highest derivatives. Using model operator Airy–Langer for defined regular function. Received the conditions of construction an uniform asymptotic solution for a given system.

References

Bobochko V. N., Perestuk N. A. Asymptotic integration of the Liouville equation with turning points. Kyiv: Naukova dumka. 2002. 310 p.

Zelenska I. O. Differential turning point for singularly perturbed systems. Theoretical and applied aspects of Cybernetics.2014. Kyiv. P. 251–257.

Hussain A. F. Numerical solution of singularly perturbed multiple turning point problems. School of Mathematical and Computing Sciences, College of Engineering, Science and Technology, Fiji National University, 2021. 73 p.

Melesse W. G., Tiruneh A. A., Derese G. A. Uniform hybrid difference scheme for singularly perturbed differential-difference turning point problems exhibiting boundary layers. Hindawi Abstract and Applied Analysis. 2020. P. 1–14.

Published
2023-02-01
How to Cite
Sobchuk, V., & Zelenska, I. (2023). STUDY OF ASYMPTOTIC SOLUTIONS OF SYSTEMS OF SINGULARLY PERTURBED DIFFERENTIAL EQUATIONS WITH TURNING POINTS. Journal of Numerical and Applied Mathematics, 1(2), 151-157. https://doi.org/10.17721/2706-9699.2022.2.17
Issue
No 2 (2022): Journal of Numerical and Applied Mathematics
Section
Articles