New optimum solutions of nonlinear fractional acoustic wave equations via optimal homotopy asymptotic method-2 (OHAM-2)
Abstract The second iteration of the optimal homotopy asymptotic technique (OHAM-2) has been protracted to fractional order partial differential equations in this work for the first time (FPDEs). Without any transformation, the suggested approach can be used to solve fractional-order nonlinear Zakha...
| Main Authors: | , , , , , , |
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| Format: | Article |
| Language: | English |
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Nature Portfolio
2022-11-01
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| Series: | Scientific Reports |
| Online Access: | https://doi.org/10.1038/s41598-022-23644-5 |
| _version_ | 1798044373889318912 |
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| author | Laiq Zada Rashid Nawaz Wasim Jamshed Rabha W. Ibrahim El Sayed M. Tag El Din Zehba Raizah Ayesha Amjad |
| author_facet | Laiq Zada Rashid Nawaz Wasim Jamshed Rabha W. Ibrahim El Sayed M. Tag El Din Zehba Raizah Ayesha Amjad |
| author_sort | Laiq Zada |
| collection | DOAJ |
| description | Abstract The second iteration of the optimal homotopy asymptotic technique (OHAM-2) has been protracted to fractional order partial differential equations in this work for the first time (FPDEs). Without any transformation, the suggested approach can be used to solve fractional-order nonlinear Zakharov–Kuznetsov equations. The Caputo notion of the fractional-order derivative, whose values fall within the closed interval [0, 1], has been taken into consideration. The method's appeal is that it provides an approximate solution after just one iteration. The suggested method's numerical findings have been contrasted with those of the variational iteration method, residual power series method, and perturbation iteration method. Through tables and graphs, the proposed method's effectiveness and dependability are demonstrated. |
| first_indexed | 2024-04-11T23:02:47Z |
| format | Article |
| id | doaj.art-90503dc4a55b4780a183152c448f723e |
| institution | Directory Open Access Journal |
| issn | 2045-2322 |
| language | English |
| last_indexed | 2024-04-11T23:02:47Z |
| publishDate | 2022-11-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Scientific Reports |
| spelling | doaj.art-90503dc4a55b4780a183152c448f723e2022-12-22T03:58:05ZengNature PortfolioScientific Reports2045-23222022-11-0112111110.1038/s41598-022-23644-5New optimum solutions of nonlinear fractional acoustic wave equations via optimal homotopy asymptotic method-2 (OHAM-2)Laiq Zada0Rashid Nawaz1Wasim Jamshed2Rabha W. Ibrahim3El Sayed M. Tag El Din4Zehba Raizah5Ayesha Amjad6Department of Mathematics, Abdul Wali Khan University MardanDepartment of Mathematics, Abdul Wali Khan University MardanDepartment of Mathematics, Capital University of Science and Technology (CUST)Mathematics Research Center, Department of Mathematics, Near East UniversityElectrical Engineering, Faculty of Engineering and Technology, Future University in EgyptDepartment of Mathematics, College of Science, King Khalid UniversityFaculty of Organization and Management, Silesian University of TechnologyAbstract The second iteration of the optimal homotopy asymptotic technique (OHAM-2) has been protracted to fractional order partial differential equations in this work for the first time (FPDEs). Without any transformation, the suggested approach can be used to solve fractional-order nonlinear Zakharov–Kuznetsov equations. The Caputo notion of the fractional-order derivative, whose values fall within the closed interval [0, 1], has been taken into consideration. The method's appeal is that it provides an approximate solution after just one iteration. The suggested method's numerical findings have been contrasted with those of the variational iteration method, residual power series method, and perturbation iteration method. Through tables and graphs, the proposed method's effectiveness and dependability are demonstrated.https://doi.org/10.1038/s41598-022-23644-5 |
| spellingShingle | Laiq Zada Rashid Nawaz Wasim Jamshed Rabha W. Ibrahim El Sayed M. Tag El Din Zehba Raizah Ayesha Amjad New optimum solutions of nonlinear fractional acoustic wave equations via optimal homotopy asymptotic method-2 (OHAM-2) Scientific Reports |
| title | New optimum solutions of nonlinear fractional acoustic wave equations via optimal homotopy asymptotic method-2 (OHAM-2) |
| title_full | New optimum solutions of nonlinear fractional acoustic wave equations via optimal homotopy asymptotic method-2 (OHAM-2) |
| title_fullStr | New optimum solutions of nonlinear fractional acoustic wave equations via optimal homotopy asymptotic method-2 (OHAM-2) |
| title_full_unstemmed | New optimum solutions of nonlinear fractional acoustic wave equations via optimal homotopy asymptotic method-2 (OHAM-2) |
| title_short | New optimum solutions of nonlinear fractional acoustic wave equations via optimal homotopy asymptotic method-2 (OHAM-2) |
| title_sort | new optimum solutions of nonlinear fractional acoustic wave equations via optimal homotopy asymptotic method 2 oham 2 |
| url | https://doi.org/10.1038/s41598-022-23644-5 |
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