A note on numerical solution of a parabolic source identification problem with involution and Robin condition. (English) Zbl 07919578
Ashyralyev, Allaberen (ed.) et al., Analysis and applied mathematics. Extended abstracts of the 2022 joint seminar. Cham: Birkhäuser. Trends Math., Res. Perspect. Ghent Anal. PDE Cent. 6, 115-123 (2024).
Summary: This paper investigates a space source identification problem for parabolic equations involving involution and Robin conditions. The investigation establishes the well-posedness of the associated differential equation and introduces a stable difference scheme accompanied by stability estimates. Numerical results, serving as validation for the theoretical findings, are also presented.
For the entire collection see [Zbl 07851842].
For the entire collection see [Zbl 07851842].
MSC:
| 65M32 | Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs |
| 35R30 | Inverse problems for PDEs |
References:
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