Article

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

Charyyar AshyralyyevBahcesehir University, Istanbul, Turkey; Khoja Akhmet Yassawi International Kazakh-Turkish University, Turkestan, Kazakhstan; National University of Uzbekistan named after Mirzo Ulugbek, Tashkent, UzbekistanTazegul AshyralyyevaYagshygeldi Kakayev International University of Oil and Gas, Ashgabat, Turkmenistan

BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICSjournal2024en

ABI

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.

Topics

Differential Equations and Boundary Problems Numerical methods in inverse problems Differential Equations and Numerical Methods

Identifiers

DOI: 10.31489/2024m3/66-76

Citations and references

Cited by 10 references

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