Work

Asymptotic convergence of the solution for singularly perturbed boundary value problem with boundary jumps

Year: 2018

Type: article

Abstract: Asymptotic convergence of the solution for singularly perturbed boundary value problem with boundary jumpsThe article is devoted to study of boundary value problem with boundary jumps for third order linear integro-differential equation with a small parameter at the highest derivatives, provided that additional characteristic equation's roots have opposite signs.The modified unperturbed boundary value problem is constructed.The solution of modified unperturbed problem is obtained.Initial jumps' values of the integral term and solution are defined.An estimate difference of solution for singularly perturbed and modified unperturbed boundary value problems is obtained.The convergence of solution for singularly perturbed boundary value problem to solution of modified unperturbed boundary value problem is proved.

Source: BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS

DOI: 10.31489/2018m4/64-71

Authors: A.E. Mirzakulova, N. Atakhan, N. Asset, A Rysbek

Institutions: Abai Kazakh National Pedagogical University, Kazakh National Women's Teacher Training University, Nazarbayev Intellectual Schools

Language: English

Topic: Singular Perturbation, Asymptotics and Difference Schemes

Subfield: Numerical Analysis

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W2920867196

FWCI: 0.88

Cites:

Cited by: 6

Related to: 10