On the Uniqueness of the Finite-Difference Analogues of the Fundamental Solution of the Heat Equation and the Wave Equation in Discrete Potential Theory

The paper considers the problem of uniquely determining the fundamental solution of the finite-difference analogs of the wave equation and the heat equation in the framework of the discrete potential theory. Finite-difference fundamental solutions of finite-difference analogues of partial differenti...

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Veröffentlicht in:	Computational mathematics and mathematical physics 2024-12, Vol.64 (12), p.2893-2904
Hauptverfasser:	Stepanova, I. E., Kolotov, I. I., Shchepetilov, A. V., Yagola, A. G., Levashov, A. N.
Format:	Artikel
Sprache:	eng
Schlagworte:	Computational Mathematics and Numerical Analysis Finite difference method Heat sources Inverse problems Mathematical analysis Mathematics Mathematics and Statistics Partial Differential Equations Potential theory Thermodynamics Wave equations
Online-Zugang:	Volltext
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