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On difference approximations with wrong boundary values

On difference approximations with wrong boundary values

Introduction. Consider the differential equationAssume that the approximation (1.3) is stable.What can we say about the convergence of v,it) towards uix, t), as h -* 0?For two special cases this question has been answered in an interesting paper by S. Parter [1].He has shown that the estimates of Theorem 1 …