A Fourth-Order Compact Finite Difference Scheme for Solving the Time Fractional Carbon Nanotubes Model
In this work, we deal with unsteady magnetohydrodynamic allowed convection inflow of blood with a carbon nanotubes model; the single and multiwalled carbon nanotubes of human blood are used as a based fluid. Two numerical methods used to study this model are the weighted average finite difference me...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2022/1426837 |
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| author | N. H. Sweilam Khloud R. Khater Zafer M. Asker Waleed Abdel Kareem |
| author_facet | N. H. Sweilam Khloud R. Khater Zafer M. Asker Waleed Abdel Kareem |
| author_sort | N. H. Sweilam |
| collection | DOAJ |
| description | In this work, we deal with unsteady magnetohydrodynamic allowed convection inflow of blood with a carbon nanotubes model; the single and multiwalled carbon nanotubes of human blood are used as a based fluid. Two numerical methods used to study this model are the weighted average finite difference method and the nonstandard compact finite difference method. The proportional Caputo hybrid operator has been used to fractionalize the proposed model. Stability analysis has been construed by a kind of John von Neumann stability analysis. Numerical results are presented in diverse graphs, which manifest that the method is successful in solving the proposed model. |
| format | Article |
| id | doaj-art-3e8b9e2086084b1a948a3508b3b3d9b6 |
| institution | Kabale University |
| issn | 1537-744X |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-3e8b9e2086084b1a948a3508b3b3d9b62025-02-03T01:00:51ZengWileyThe Scientific World Journal1537-744X2022-01-01202210.1155/2022/1426837A Fourth-Order Compact Finite Difference Scheme for Solving the Time Fractional Carbon Nanotubes ModelN. H. Sweilam0Khloud R. Khater1Zafer M. Asker2Waleed Abdel Kareem3Faculty of ScienceHigh Institute for Engineering and TechnologyFaculty of ScienceFaculty of ScienceIn this work, we deal with unsteady magnetohydrodynamic allowed convection inflow of blood with a carbon nanotubes model; the single and multiwalled carbon nanotubes of human blood are used as a based fluid. Two numerical methods used to study this model are the weighted average finite difference method and the nonstandard compact finite difference method. The proportional Caputo hybrid operator has been used to fractionalize the proposed model. Stability analysis has been construed by a kind of John von Neumann stability analysis. Numerical results are presented in diverse graphs, which manifest that the method is successful in solving the proposed model.http://dx.doi.org/10.1155/2022/1426837 |
| spellingShingle | N. H. Sweilam Khloud R. Khater Zafer M. Asker Waleed Abdel Kareem A Fourth-Order Compact Finite Difference Scheme for Solving the Time Fractional Carbon Nanotubes Model The Scientific World Journal |
| title | A Fourth-Order Compact Finite Difference Scheme for Solving the Time Fractional Carbon Nanotubes Model |
| title_full | A Fourth-Order Compact Finite Difference Scheme for Solving the Time Fractional Carbon Nanotubes Model |
| title_fullStr | A Fourth-Order Compact Finite Difference Scheme for Solving the Time Fractional Carbon Nanotubes Model |
| title_full_unstemmed | A Fourth-Order Compact Finite Difference Scheme for Solving the Time Fractional Carbon Nanotubes Model |
| title_short | A Fourth-Order Compact Finite Difference Scheme for Solving the Time Fractional Carbon Nanotubes Model |
| title_sort | fourth order compact finite difference scheme for solving the time fractional carbon nanotubes model |
| url | http://dx.doi.org/10.1155/2022/1426837 |
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