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

Autor:	C. Ashyralyyev, T.A. Ashyralyyeva
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	inverse problem source identification parabolic equation difference scheme stability nonlocal condition Analysis QA299.6-433 Analytic mechanics QA801-939 Probabilities. Mathematical statistics QA273-280
Zdroj:	Қарағанды университетінің хабаршысы. Математика сериясы, Vol 115, Iss 3 (2024)
Druh dokumentu:	article
ISSN:	2518-7929 2663-5011
DOI:	10.31489/2024m3/66-76
Popis:	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.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/65603bb8654d4812a31f90f0410ad67b Zobrazit plný text záznamu View record in DOAJ