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

Bratislav Sredojević (), Dejan Bojović () and Zorica Milovanović Jeknić ()
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Bratislav Sredojević: Faculty of Mechanical and Civil Engineering in Kraljevo
Dejan Bojović: University of Kragujevac, Faculty of Science
Zorica Milovanović Jeknić: Faculty of Construction Management

Chapter Chapter 19 in Analysis, Approximation, Optimization: Computation and Applications, 2025, pp 347-368 from Springer

Abstract: Abstract 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 $$W_2^{1,\,1/2}$$ and W 2 2 , 1 $$W_2^{2,1}$$ , compatible with the smoothness of the coefficients and solution, are obtained.

Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-031-85743-0_19

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DOI: 10.1007/978-3-031-85743-0_19

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