STABILITY ANALYSIS OF PLATE OSCILLATION MODELING ALGORITHMS ON CELLULAR NEURAL NETWORKS
Background. A fourth-order partial differential equation is considered, which describes the vibration of plates under the influence of an external force. Materials and methods. A finite-difference approximation in space and time of this equation leads to difference schemes in a non-stationary for...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Penza State University Publishing House
2022-11-01
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| Series: | Модели, системы, сети в экономике, технике, природе и обществе |
| Subjects: |
| Summary: | Background. A fourth-order partial differential equation is considered, which
describes the vibration of plates under the influence of an external force. Materials and
methods. A finite-difference approximation in space and time of this equation leads to difference
schemes in a non-stationary formulation. Results. An algorithm for the implementation
of difference schemes is proposed with the calculation of increments to the solution at
each time step, which makes it possible to avoid the accumulation of errors. The study of
the stability of various difference schemes made it possible to derive a condition for the
stability of an explicit scheme and to prove the absolute stability of implicit schemes. Conclusions.
The performed analysis of explicit and implicit schemes shows the conditions for
the stability of modeling algorithms. |
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| ISSN: | 2227-8486 |