Geodesic
Iterative identification of the spacewise-dependent right-hand side in a parabolic equation
Matematičeskie zametki SVFU, Tome 26 (2019) no. 1, pp. 81-92 Cet article a éte moissonné depuis la source Math-Net.Ru

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The problem of determining a spacewise-dependent right-hand side in a one-dimensional parabolic equation is considered. The method of conjugate gradients in combination with the method of finite differences with implicit time approximation with the weighting factor $\sigma\in[0, 1]$ is used for the numerical solution of the inverse initial-boundary value problem. The effectiveness of the proposed computational algorithm is confirmed by the results of the computational experiment for model problems with quasi-real solutions, including problems with overdetermination conditions having random errors.
Mots-clés : parabolic equation, source identification
Keywords: inverse problem, difference scheme, conjugate gradient method. 
@article{SVFU_2019_26_1_a8,
     author = {L. D. Su and V. I. Vasiliev},
     title = {Iterative identification of the spacewise-dependent right-hand side in a parabolic equation},
     journal = {Matemati\v{c}eskie zametki SVFU},
     pages = {81--92},
     year = {2019},
     volume = {26},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SVFU_2019_26_1_a8/}
}
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L. D. Su; V. I. Vasiliev. Iterative identification of the spacewise-dependent right-hand side in a parabolic equation. Matematičeskie zametki SVFU, Tome 26 (2019) no. 1, pp. 81-92. http://geodesic.mathdoc.fr/item/SVFU_2019_26_1_a8/