Determination temperature of a backward heat equation with time-dependent coefficients

In: Mathematica Slovaca, vol. 62, no. 5

Nguyen Huy Tuan - Ngo Van Hoa

Detaily:

Rok, strany: 2012, 937 - 948

Kľúčové slová:

backward heat problem, Ill-posed problem, nonhomogeneous heat, contraction principle

DOI: https://doi.org/10.2478/s12175-012-0056-3

O článku:

We introduce the truncation method for solving a backward heat conduction problem with time-dependent coefficients. For this method, we give the stability analysis with new error estimates. Meanwhile, we investigate the roles of regularization parameters in these two methods. These estimates prove that our method is effective.

Ako citovať:

ISO 690:

Tuan, N., Hoa, N. 2012. Determination temperature of a backward heat equation with time-dependent coefficients. In Mathematica Slovaca, vol. 62, no.5, pp. 937-948. 0139-9918. DOI: https://doi.org/10.2478/s12175-012-0056-3

APA:

Tuan, N., Hoa, N. (2012). Determination temperature of a backward heat equation with time-dependent coefficients. Mathematica Slovaca, 62(5), 937-948. 0139-9918. DOI: https://doi.org/10.2478/s12175-012-0056-3

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