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UDC 517.9 + 519.6 DOI: 10.14529/ctcr150211 Method for Solving Some Multidimensional Inverse Boundary Value Problems for Parabolic PDEs without Initial Conditions N.M. Yaparova, South Ural State University, Chelyabinsk, Russian Federation, ddjy@math.susu.ac.ruAbstractThis paper proposes a new method for solution of some inverse boundary value problems with unknown initial conditions. The method is based on the use of finite-difference schemes and its application has regularized solutions both at the border and throughout the area under consideration with unknown initial conditions. The proposed method is the basis for the development of a numerical method for the solution of inverse boundary value problems with unknown initial conditions. The computational experiment was carry out in order to evaluate the effectiveness of the proposed method and obtaining experimental error estimates. 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