Work

Numerical solution of source identification multi-point problem of parabolic partial differential equation with Neumann type boundary condition

Year: 2024

Type: article

Abstract: We study a source identification boundary value problem for a parabolic partial differential equation with multi-point Neumann type boundary condition. Stability estimates for the solution of the overdetermined mixed BVP for multi-dimensional parabolic equation were established. The first and second order of accuracy difference schemes for the approximate solution of this problem were proposed. Stability estimates for both difference schemes were obtained. The result of numerical illustration in test example was given.

Source: BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS

DOI: 10.31489/2024m3/66-76

Authors: C. Ashyralyyev, T.A. Ashyralyyeva

Institutions: Bahçeşehir University, National University of Uzbekistan, International Oil and Gas University

Language: English

Topic: Differential Equations and Boundary Problems

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4402995263

FWCI: 0.781

Cites:

Cited by: 1

Related to: 10