Abstract
In this paper we consider the first initial-boundary value problem for the heat equation with variable coefficients in the domain (0, 1)2 × (0, T]. We assume that the solution of the problem and the coefficients of equation belong to the corresponding anisotropic Sobolev spaces. Convergence rate estimates consistent with the smoothness of the data are obtained.
Supported by MST of Republic of Serbia, grant number 04M03/C
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Bojović, D. (2001). Convergence of Finite Difference Method for Parabolic Problem with Variable Operator. In: Vulkov, L., Yalamov, P., Waśniewski, J. (eds) Numerical Analysis and Its Applications. NAA 2000. Lecture Notes in Computer Science, vol 1988. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45262-1_14
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DOI: https://doi.org/10.1007/3-540-45262-1_14
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