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The convergence of difference schemes for parabolic interface problems with time-dependent coefficients is investigated. The estimates of the rate of convergence in special discrete Sobolev norms \(W_2^{1,\,1/2}\) and \(W_2^{2,1}\) , compatible with the smoothness of the coefficients and solution, are obtained.

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The Finite Difference Method for Solution of Parabolic Problem with Time-Dependent Coefficients

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  • 发表日期：

    2025年

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  • Bratislav Sredojević,
  • Dejan Bojović,
  • Zorica Milovanović Jeknić

摘要

The convergence of difference schemes for parabolic interface problems with time-dependent coefficients is investigated. The estimates of the rate of convergence in special discrete Sobolev norms \(W_2^{1,\,1/2}\) and \(W_2^{2,1}\) , compatible with the smoothness of the coefficients and solution, are obtained.