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Construction of unconditionally stable difference schemes based on stability of perturbed difference scheme
(Maltepe Üniversitesi, 2019) Sultanov, Murat A.; Akylbaev, Musabek I.
In the paper we consider stability of an abstract three-layer “perturbed” difference scheme. The research method is based on obtaining discrete analogs of a priori weight Carleman type estimates [1, 2]. On the basis of stability of the “perturbed” scheme, unconditionally stable difference schemes have been constructed that approximate the ill-posed Cauchy problem, which is associated with the one-dimensional coefficient inverse problem [3].