Study of multi-dimensional problems arising in wave propagation using a hybrid scheme
Abstract Many scientific phenomena are linked to wave problems. This paper presents an effective and suitable technique for generating approximation solutions to multi-dimensional problems associated with wave propagation. We adopt a new iterative strategy to reduce the numerical work with minimum t...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Nature Portfolio
2024-03-01
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| Series: | Scientific Reports |
| Subjects: | |
| Online Access: | https://doi.org/10.1038/s41598-024-56477-5 |
| _version_ | 1797266791309770752 |
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| author | Jinxing Liu Muhammad Nadeem M. S. Osman Yahya Alsayaad |
| author_facet | Jinxing Liu Muhammad Nadeem M. S. Osman Yahya Alsayaad |
| author_sort | Jinxing Liu |
| collection | DOAJ |
| description | Abstract Many scientific phenomena are linked to wave problems. This paper presents an effective and suitable technique for generating approximation solutions to multi-dimensional problems associated with wave propagation. We adopt a new iterative strategy to reduce the numerical work with minimum time efficiency compared to existing techniques such as the variational iteration method (VIM) and homotopy analysis method (HAM) have some limitations and constraints within the development of recurrence relation. To overcome this drawback, we present a Sawi integral transform ( $$\mathbb {S}$$ S T) for constructing a suitable recurrence relation. This recurrence relation is solved to determine the coefficients of the homotopy perturbation strategy (HPS) that leads to the convergence series of the precise solution. This strategy derives the results in algebraic form that are independent of any discretization. To demonstrate the performance of this scheme, several mathematical frameworks and visual depictions are shown. |
| first_indexed | 2024-04-25T01:06:18Z |
| format | Article |
| id | doaj.art-c4222866429a4a2c94937365169e6be4 |
| institution | Directory Open Access Journal |
| issn | 2045-2322 |
| language | English |
| last_indexed | 2024-04-25T01:06:18Z |
| publishDate | 2024-03-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Scientific Reports |
| spelling | doaj.art-c4222866429a4a2c94937365169e6be42024-03-10T12:12:54ZengNature PortfolioScientific Reports2045-23222024-03-0114111310.1038/s41598-024-56477-5Study of multi-dimensional problems arising in wave propagation using a hybrid schemeJinxing Liu0Muhammad Nadeem1M. S. Osman2Yahya Alsayaad3Faculty of Science, Yibin UniversitySchool of Mathematics and Statistics, Qujing Normal UniversityDepartment of Mathematics, Faculty of Science, Cairo UniversityDepartment of Physics, Hodeidah UniversityAbstract Many scientific phenomena are linked to wave problems. This paper presents an effective and suitable technique for generating approximation solutions to multi-dimensional problems associated with wave propagation. We adopt a new iterative strategy to reduce the numerical work with minimum time efficiency compared to existing techniques such as the variational iteration method (VIM) and homotopy analysis method (HAM) have some limitations and constraints within the development of recurrence relation. To overcome this drawback, we present a Sawi integral transform ( $$\mathbb {S}$$ S T) for constructing a suitable recurrence relation. This recurrence relation is solved to determine the coefficients of the homotopy perturbation strategy (HPS) that leads to the convergence series of the precise solution. This strategy derives the results in algebraic form that are independent of any discretization. To demonstrate the performance of this scheme, several mathematical frameworks and visual depictions are shown.https://doi.org/10.1038/s41598-024-56477-5Sawi integral transformHomotopy perturbation schemeMulti-dimensional wave equationsApproximate solutions |
| spellingShingle | Jinxing Liu Muhammad Nadeem M. S. Osman Yahya Alsayaad Study of multi-dimensional problems arising in wave propagation using a hybrid scheme Scientific Reports Sawi integral transform Homotopy perturbation scheme Multi-dimensional wave equations Approximate solutions |
| title | Study of multi-dimensional problems arising in wave propagation using a hybrid scheme |
| title_full | Study of multi-dimensional problems arising in wave propagation using a hybrid scheme |
| title_fullStr | Study of multi-dimensional problems arising in wave propagation using a hybrid scheme |
| title_full_unstemmed | Study of multi-dimensional problems arising in wave propagation using a hybrid scheme |
| title_short | Study of multi-dimensional problems arising in wave propagation using a hybrid scheme |
| title_sort | study of multi dimensional problems arising in wave propagation using a hybrid scheme |
| topic | Sawi integral transform Homotopy perturbation scheme Multi-dimensional wave equations Approximate solutions |
| url | https://doi.org/10.1038/s41598-024-56477-5 |
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