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Linearization for a nonlinear heat-conduction equation

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Journal of Engineering Physics and Thermophysics Aims and scope

Abstract

A method of linearizing a quasilinear heat-conduction equation is proposed. The closeness of the exact and approximate solutions was estimated by an inequality, the right side of which determines the closeness of the linearized solution to the initial condition.

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References

  1. A. A. Berezovskii, Lectures on Nonlinear Boundary-Value Problems of Mathematical Physics [in Russian], Vishcha Shkola, Kiev (1974).

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  2. Ya. B. Lopatinskii, Ordinary Differential Equations [in Russian], Vishcha Shkola, Kiev (1984).

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Authors and Affiliations

  1. Belarusian State University, 4 Nezavisimost’ Ave., Minsk, 220050, Belarus

    I. M. Martynenko

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  1. I. M. Martynenko
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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 79, No. 3, pp. 26–29, May–June, 2006.

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Martynenko, I.M. Linearization for a nonlinear heat-conduction equation. J Eng Phys Thermophys 79, 444–447 (2006). https://doi.org/10.1007/s10891-006-0120-3

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  • DOI: https://doi.org/10.1007/s10891-006-0120-3

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