Solving the time-fractional inverse Burger equation involving fractional Heydari-Hosseininia derivative
In this paper, we present a powerful numerical scheme based on energy boundary functions to get the approximate solutions of the time-fractional inverse Burger equation containing HH-derivative.This problem has never been investigated earlier so, this is our motivation to work on this important prob...
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| Format: | Article |
| Language: | English |
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AIMS Press
2022-07-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2022959?viewType=HTML |
| _version_ | 1811221558474047488 |
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| author | Mohammad Partohaghighi Ali Akgül Jihad Asad Rania Wannan |
| author_facet | Mohammad Partohaghighi Ali Akgül Jihad Asad Rania Wannan |
| author_sort | Mohammad Partohaghighi |
| collection | DOAJ |
| description | In this paper, we present a powerful numerical scheme based on energy boundary functions to get the approximate solutions of the time-fractional inverse Burger equation containing HH-derivative.This problem has never been investigated earlier so, this is our motivation to work on this important problem. Some numerical examples are presented to verify the efficiency of the presented technique. Graphs of the exact and numerical solutions along with the plot of absolute error are provided for each example. Tables are given to see and compare the results point by point for each example. |
| first_indexed | 2024-04-12T08:01:21Z |
| format | Article |
| id | doaj.art-b5922536d5984bde9fec0e1f0135e402 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-04-12T08:01:21Z |
| publishDate | 2022-07-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-b5922536d5984bde9fec0e1f0135e4022022-12-22T03:41:19ZengAIMS PressAIMS Mathematics2473-69882022-07-0179174031741710.3934/math.2022959Solving the time-fractional inverse Burger equation involving fractional Heydari-Hosseininia derivativeMohammad Partohaghighi 0Ali Akgül 1Jihad Asad2Rania Wannan31. Department of Mathematics, University of Clarkson, New York, USA2. Department of Mathematics, Art and Science Faculty, 56100 Siirt, Siirt university, Turkey3. Department Of Physics, Faculty of Applied Sciences, Palestine Technical University- Kadoorie, Tulkarm, Palestine4. Department of Applied Mathematics, Faculty of Applied Sciences, Palestine Technical University- Kadoorie, Tulkarm, PalestineIn this paper, we present a powerful numerical scheme based on energy boundary functions to get the approximate solutions of the time-fractional inverse Burger equation containing HH-derivative.This problem has never been investigated earlier so, this is our motivation to work on this important problem. Some numerical examples are presented to verify the efficiency of the presented technique. Graphs of the exact and numerical solutions along with the plot of absolute error are provided for each example. Tables are given to see and compare the results point by point for each example.https://www.aimspress.com/article/doi/10.3934/math.2022959?viewType=HTMLoptimizationfractional inverse burger equationheydari-hosseininia derivative |
| spellingShingle | Mohammad Partohaghighi Ali Akgül Jihad Asad Rania Wannan Solving the time-fractional inverse Burger equation involving fractional Heydari-Hosseininia derivative AIMS Mathematics optimization fractional inverse burger equation heydari-hosseininia derivative |
| title | Solving the time-fractional inverse Burger equation involving fractional Heydari-Hosseininia derivative |
| title_full | Solving the time-fractional inverse Burger equation involving fractional Heydari-Hosseininia derivative |
| title_fullStr | Solving the time-fractional inverse Burger equation involving fractional Heydari-Hosseininia derivative |
| title_full_unstemmed | Solving the time-fractional inverse Burger equation involving fractional Heydari-Hosseininia derivative |
| title_short | Solving the time-fractional inverse Burger equation involving fractional Heydari-Hosseininia derivative |
| title_sort | solving the time fractional inverse burger equation involving fractional heydari hosseininia derivative |
| topic | optimization fractional inverse burger equation heydari-hosseininia derivative |
| url | https://www.aimspress.com/article/doi/10.3934/math.2022959?viewType=HTML |
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