Числова модель руху газу в трубопроводі з використанням дробових похідних за часом
The paper presents a method for solving systems of nonlinear differential equations in partialderivatives. A modified finite element method using the Grünwald-Letnikov algorithm for fractionaltime derivatives is constructed. Fractional derivatives of Caputo and Riemann-Liouville areconsidered. A num...
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| Date: | 2019 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Ukrainian |
| Published: |
Інститут прикладних проблем механіки і математики ім. Я. С. Підстригача НАН України
2019
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| Subjects: | |
| Online Access: | https://www.fmmit.lviv.ua/index.php/fmmit/article/view/78 |
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| Journal Title: | Physico-mathematical modeling and informational technologies |
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Physico-mathematical modeling and informational technologies| Summary: | The paper presents a method for solving systems of nonlinear differential equations in partialderivatives. A modified finite element method using the Grünwald-Letnikov algorithm for fractionaltime derivatives is constructed. Fractional derivatives of Caputo and Riemann-Liouville areconsidered. A numerical analysis using experimental data input is carried out. The results of theexperiment confirm the behavior of the gas pressure in the presence of atypical filtering. It isestablished that the order of fractional derivative can serve as an adaptation parameter of themathematical model. |
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