Geodesic
On numerical solving an inverse problem for a mixed parabolic-hyperbolic type equation of finding the right-hand side
Matematičeskie zametki SVFU, Tome 29 (2022) no. 3, pp. 108-127 Cet article a éte moissonné depuis la source Math-Net.Ru

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The paper proposes algorithms for numerical solving an inverse problem for a mixed parabolic-hyperbolic type equation with a nonlocal condition for finding the right-hand side of the equation. It was assumed that the function included in the nonlocal condition and the function that is additional information for solving the inverse problem may be known with some error, since they are the result of practical measurements. Three algorithms for the numerical solution are proposed. The numerical experiments of testing the proposed algorithms are presented.
Keywords: mixed parabolic-hyperbolic type equation, Fredholm equation of the 1st kind, residual functional, regularization.
Mots-clés : nonlocal condition, inverse prob-lem 
@article{SVFU_2022_29_3_a8,
     author = {Sh. B. Merajova},
     title = {On numerical solving an inverse problem for a mixed parabolic-hyperbolic type equation of finding the right-hand side},
     journal = {Matemati\v{c}eskie zametki SVFU},
     pages = {108--127},
     year = {2022},
     volume = {29},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SVFU_2022_29_3_a8/}
}
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Sh. B. Merajova. On numerical solving an inverse problem for a mixed parabolic-hyperbolic type equation of finding the right-hand side. Matematičeskie zametki SVFU, Tome 29 (2022) no. 3, pp. 108-127. http://geodesic.mathdoc.fr/item/SVFU_2022_29_3_a8/