The Method of Separation of Variables for Nonlocal Contact Problem for Some Stationary Linear Partial Differential Equations

Author: Tinatin Davitashvili
Annotation:

In the present report, the factorized difference scheme for two-dimensional mixed-derivative hyperbolic equations with variable coefficients is considered. Using the method of regularization, the absolutely stable factorized scheme is constructed. A convergence of the scheme is proved in space. For the solution of the difference scheme is constructed a parallel algorithm. The results are applied for two-dimensional system of equations of Elasticity Theory and the corresponding factorized schemes are constructed. In terms of the number of arithmetic operations, these schemes represent economic difference schemes.

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თინათინ-დავითაშვილი-GEO [ka]
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