About one parallel algorithm of solving non-local contact problem for parabolic equations

Davitashvili, Tinatin; Meladze, Hamlet; Skhirtladze, Nugzar

doi:10.1109/csitechnol.2017.8312159

Cited by 2 publications

(4 citation statements)

References 8 publications

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“…In case of partial failure of the MFE in the process of functioning of the system, by entering 0 in the appropriate place in the matrix of functional resources and using the model (12), redistribution of functions between elements (interchange of elements) and optimal reconfiguration is performed. It should be noted that similar processes take place in parallel computing systems as well [7].…”

Section: Optimal Management Of Systems Reconfigurationmentioning

confidence: 98%

“…In this case, a comparative analysis of system flexibility and maneuverability is appropriate. Flexibility of the system structure is a number of the shortest ways of functioning of the system (or the number of variants for the distribution of functions between the elements of the system), which is calculated by formulas (2), ( 5) and (7) in the case of functionally complete MFEs for the considered modes of operation.…”

Section: Optimal Management Of Systems Reconfigurationmentioning

confidence: 99%

See 1 more Smart Citation

The Systems with Reconfigurable Structure Based on Multi-Functional Elements

Tsiramua,

Meladze,

Davitashvili

et al. 2023

Proceedings of Computer Science and Information Technologies 2023 Conference

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Multi-functional elements are a special class of elements, the reliability model od which differs from the classical two-pole "on-off" model. A multi-function element can have partly false states in addition to non-false and false states. The multi-functionality of the elements leads to the formation of flexible, adaptable systems with reconfigurable structure, in which, in case of partial failure of the element, it is possible to continue the successful functioning of the system by redistributing the functions between the elements. In this paper, the properties of multi-functional elements and systems, assembled on their basis, reliability models and issues of optimal reconfiguration are discussed.

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Section: Optimal Management Of Systems Reconfigurationmentioning

confidence: 98%

Section: Optimal Management Of Systems Reconfigurationmentioning

confidence: 99%

The Systems with Reconfigurable Structure Based on Multi-Functional Elements

Tsiramua,

Meladze,

Davitashvili

et al. 2023

Proceedings of Computer Science and Information Technologies 2023 Conference

View full text Add to dashboard Cite

show abstract

“…Using the method of constructing general solutions of differential equations with homogeneous boundary conditions and method of variation of constants or method of undetermined coefficients of Lagrange (see, for example [20]), it is possible to build the general solutions of equations ( 8) and (9). At first, we will consider the problem (8).…”

Section: Existence and Uniqueness Of The Solutionmentioning

confidence: 99%

“…The work [9] is devoted to the formulation and investigation of a non-local contact problem for a parabolic-type linear differential equation with partial derivatives. In the first part of the work, the linear parabolic equation with constant coefficients is considered.…”

Section: Introductionmentioning

confidence: 99%

On One Generalization of the Multipoint Nonlocal Contact Problem for Elliptic Equation in Rectangular Area

Davitashvili

Meladze

Criado-Aldeanueva

et al. 2022

Journal of Mathematics

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Nonlocal contact problem for two-dimensional linear elliptic equations is stated and investigated. The method of separation of variables is used to find the solution of a stated problem in the case of Poisson’s equation. Then, the more general problem with nonlocal multipoint contact conditions for elliptic equation with variable coefficients is considered, and the iterative method to solve the problem numerically is constructed and investigated. The uniqueness and existence of the regular solution are proved. The iterative method allows reducing the solution of a nonlocal contact problem to the solution of a sequence of classical boundary value problems.

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About one parallel algorithm of solving non-local contact problem for parabolic equations

Cited by 2 publications

References 8 publications

The Systems with Reconfigurable Structure Based on Multi-Functional Elements

The Systems with Reconfigurable Structure Based on Multi-Functional Elements

On One Generalization of the Multipoint Nonlocal Contact Problem for Elliptic Equation in Rectangular Area

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