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WIAS Preprint No. 464, (1998)

The convergence and stability of splitting finite difference schemes for nonlinear evolutionary type equations



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2010 Mathematics Subject Classification

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Abstract

A splitting finite difference scheme for an initial-boundary value problem for a two-dimensional nonlinear evolutionary type equation is considered. The problem is split into nonlinear and linear parts. The linear part is also split into locally one-dimensional equations. The convergence and stability of the scheme in $L_2$ and $C$ norms are proved.

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