Research Article
BibTex RIS Cite

Asymptotics of the Solution of the Parabolic Problem with a Stationary Phase and an Additive Free Member

Year 2018, Volume: 6 Issue: 2, 193 - 202, 24.12.2018

Abstract



In this paper we construct the asymptotics of the
solution of
the singularly perturbed parabolic problem with the stationary phase and the additive
free term.



References

  • [1] Feschenko S., Shkil N. and Nikolaenko L., Asymptotic methods in the theory of linear differential equations, Kiev, Naukova Dumka, 1966.
  • [2] Omuraliev A.S., Sadykova D.A., Regularization of a singularly perturbed parabolic problem with a fast-oscillating right-hand side, Khabarshy –Vestnik of the Kazak National Pedagogical University, 20, (2007), 202-207.
  • [3] Omuraliev A.S., Sheishenova Sh. K., Asymptotics of the solution of a parabolic problem in the absence of the spectrum of the limit operator and with a rapidly oscillating right-hand side, Investigated on the integral-differential equations, no. 42, (2010), 122-128.
  • [4] Lomov S., Introduction to the general theory of singular perturbations, Moscow, Nauka, 1981.
  • [5] Butuzov V.F., Asymptotics of the solution of a difference equation with small steps in a rectangular area, Computational Mathematics and Mathematical Physics, vol. 3, no. 3, (1972), 582-597.
  • [6] Omuraliev A., Regularization of a two-dimensional singularly perturbed parabolic problem, Journal of Computational Mathematics and Mathematical Physics, vol. 8, no. 46, (2006), 1423-1432.
  • [7] Ladyzhenskaya O. A., Solonnikov V. A., Uraltseva N. N., Linear and quasilinear equations of parabolic type, Moscow, Nauka, 1967.
Year 2018, Volume: 6 Issue: 2, 193 - 202, 24.12.2018

Abstract

References

  • [1] Feschenko S., Shkil N. and Nikolaenko L., Asymptotic methods in the theory of linear differential equations, Kiev, Naukova Dumka, 1966.
  • [2] Omuraliev A.S., Sadykova D.A., Regularization of a singularly perturbed parabolic problem with a fast-oscillating right-hand side, Khabarshy –Vestnik of the Kazak National Pedagogical University, 20, (2007), 202-207.
  • [3] Omuraliev A.S., Sheishenova Sh. K., Asymptotics of the solution of a parabolic problem in the absence of the spectrum of the limit operator and with a rapidly oscillating right-hand side, Investigated on the integral-differential equations, no. 42, (2010), 122-128.
  • [4] Lomov S., Introduction to the general theory of singular perturbations, Moscow, Nauka, 1981.
  • [5] Butuzov V.F., Asymptotics of the solution of a difference equation with small steps in a rectangular area, Computational Mathematics and Mathematical Physics, vol. 3, no. 3, (1972), 582-597.
  • [6] Omuraliev A., Regularization of a two-dimensional singularly perturbed parabolic problem, Journal of Computational Mathematics and Mathematical Physics, vol. 8, no. 46, (2006), 1423-1432.
  • [7] Ladyzhenskaya O. A., Solonnikov V. A., Uraltseva N. N., Linear and quasilinear equations of parabolic type, Moscow, Nauka, 1967.
There are 7 citations in total.

Details

Primary Language English
Subjects Engineering
Journal Section Research Article
Authors

Asan Omuraliev This is me

Ella Abylaeva

Publication Date December 24, 2018
Published in Issue Year 2018 Volume: 6 Issue: 2

Cite

APA Omuraliev, A., & Abylaeva, E. (2018). Asymptotics of the Solution of the Parabolic Problem with a Stationary Phase and an Additive Free Member. MANAS Journal of Engineering, 6(2), 193-202.
AMA Omuraliev A, Abylaeva E. Asymptotics of the Solution of the Parabolic Problem with a Stationary Phase and an Additive Free Member. MJEN. December 2018;6(2):193-202.
Chicago Omuraliev, Asan, and Ella Abylaeva. “Asymptotics of the Solution of the Parabolic Problem With a Stationary Phase and an Additive Free Member”. MANAS Journal of Engineering 6, no. 2 (December 2018): 193-202.
EndNote Omuraliev A, Abylaeva E (December 1, 2018) Asymptotics of the Solution of the Parabolic Problem with a Stationary Phase and an Additive Free Member. MANAS Journal of Engineering 6 2 193–202.
IEEE A. Omuraliev and E. Abylaeva, “Asymptotics of the Solution of the Parabolic Problem with a Stationary Phase and an Additive Free Member”, MJEN, vol. 6, no. 2, pp. 193–202, 2018.
ISNAD Omuraliev, Asan - Abylaeva, Ella. “Asymptotics of the Solution of the Parabolic Problem With a Stationary Phase and an Additive Free Member”. MANAS Journal of Engineering 6/2 (December 2018), 193-202.
JAMA Omuraliev A, Abylaeva E. Asymptotics of the Solution of the Parabolic Problem with a Stationary Phase and an Additive Free Member. MJEN. 2018;6:193–202.
MLA Omuraliev, Asan and Ella Abylaeva. “Asymptotics of the Solution of the Parabolic Problem With a Stationary Phase and an Additive Free Member”. MANAS Journal of Engineering, vol. 6, no. 2, 2018, pp. 193-02.
Vancouver Omuraliev A, Abylaeva E. Asymptotics of the Solution of the Parabolic Problem with a Stationary Phase and an Additive Free Member. MJEN. 2018;6(2):193-202.

Manas Journal of Engineering 

16155