Sultanov, Murat A.Akylbaev, Musabek I.2024-07-122024-07-122019Sultanov, M. A. ve Akylbaev, M. I. (2019). Construction of unconditionally stable difference schemes based on stability of perturbed difference scheme. International Conference of Mathematical Sciences (ICMS 2019). s. 137.978-605-2124-29-1https://hdl.handle.net/20.500.12415/2103In 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].enCC0 1.0 Universalinfo:eu-repo/semantics/openAccessDifference schemeill-posed problemPerturbed schemeStabilityArticle138137