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

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Mathematica Slovaca

Abstract

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.

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Authors and Affiliations

  1. Division of Applied Mathematics, Ton Duc Thang University, Nguyen Huu Tho Street District 7, Hochiminh City, Vietnam

    Nguyen Huy Tuan & Ngo Van Hoa

Authors
  1. Nguyen Huy Tuan
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  2. Ngo Van Hoa
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Correspondence to Nguyen Huy Tuan.

Additional information

Communicated by Peter Takac

This project was supported by National Foundation for Science and Technology Development (NAFOSTED).

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Tuan, N.H., Van Hoa, N. Determination temperature of a backward heat equation with time-dependent coefficients. Math. Slovaca 62, 937–948 (2012). https://doi.org/10.2478/s12175-012-0056-3

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

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