Work

Approximate Solution of the Inverse Boundary Value Problem for a Singularly Perturbed System of Partial Differential Equations

Year: 2024

Type: article

Abstract: The initial boundary value problem for a singularly perturbed system of partial differential equations is considered. The inverse problem is formulated, which consists in determining an unknown boundary condition based on one of the components of the solution given at a fixed point in space. Methods of approximate solution of the inverse problem based on the use of small parameter expansion of the solution of the initial boundary value problem are proposed. Estimates of the accuracy of approximate solutions are obtained. The results of numerical calculations illustrating the accuracy of the proposed methods are presented.

Source: Дифференциальные уравнения

DOI: 10.31857/s0374064124070063

Authors: A. M. Denisov, S. I. Solov’eva

Institution: Lomonosov Moscow State University

Language: English

Topic: Differential Equations and Numerical Methods

Subfield: Numerical Analysis

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

Funders: Moscow Center of Fundamental and Applied Mathematics, Ministry of Science and Higher Education of the Russian Federation

Awards: G3839204104, G597338630, G6444257319, G7291394722