This article is cited in 2 papers

The rates of convergence of the finite difference schemes on nonuniform meshes for parabolic equation with variable coefficients and weak solutions

B. S. Jovanović^a, P. P. Matus^b, V. S. Shchehlik<sup>b

a</sup> University of Belgrade, Faculty of Mathematics
^b Institute of Mathematics, National Academy of Sciences of the Republic of Belarus, Minsk

Abstract: The convergence of the difference schemes of the second order of local approximation on space for a onedimensional heat conduction equation with variable factors on an arbitrary nonuniform grid is investigated. For the schemes with averaged coefficient of a thermal conduction and averaged right part the evaluations of a rate of convergence in a grid norm $L_2$, agreed with a smoothness of a solution of a boundary value problem are obtained.

UDC: 519.63

Received: 22.12.1998

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