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
Asan Omuraliev
Ella Abylaeva
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
Asan Omuraliev
Ella Abylaeva
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.