A comparative study of Sumudu HPM and Elzaki HPM for coupled Burgers’ equation
The two hybrid algorithms Sumudu HPM and Elzaki HPM are used in the current study to tackle coupled Burgers' equations and produce accurate results. To demonstrate the validity of the given approaches, three instances are used. Applying Sumudu HPM and Elzaki HPM yields the same approximate and...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Elsevier
2023-05-01
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| Series: | Heliyon |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S240584402302933X |
| _version_ | 1797815639050551296 |
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| author | Mamta Kapoor Varun Joshi |
| author_facet | Mamta Kapoor Varun Joshi |
| author_sort | Mamta Kapoor |
| collection | DOAJ |
| description | The two hybrid algorithms Sumudu HPM and Elzaki HPM are used in the current study to tackle coupled Burgers' equations and produce accurate results. To demonstrate the validity of the given approaches, three instances are used. Applying Sumudu HPM and Elzaki HPM yields the same approximate and exact answers in all of the examples taken into consideration, which is proved with the help of the accompanying figures. It attests to the entire acceptance and accuracy of the solutions produced by these methods. The proposed regimes also have error and convergence analyses available. The current analytical regimes offer a more effective method of handling partial differential equations than the intricate numerical systems. It is also asserted that exact and approximation solutions are compatible. Also announced is the planned regime's numerical convergence. |
| first_indexed | 2024-03-13T08:25:50Z |
| format | Article |
| id | doaj.art-7ec9e38e8e1b4dfda9b264e5085af9cb |
| institution | Directory Open Access Journal |
| issn | 2405-8440 |
| language | English |
| last_indexed | 2024-03-13T08:25:50Z |
| publishDate | 2023-05-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Heliyon |
| spelling | doaj.art-7ec9e38e8e1b4dfda9b264e5085af9cb2023-05-31T04:45:19ZengElsevierHeliyon2405-84402023-05-0195e15726A comparative study of Sumudu HPM and Elzaki HPM for coupled Burgers’ equationMamta Kapoor0Varun Joshi1Department of Mathematics, Lovely Professional University, Phagwara, Punjab, 144411, India; Corresponding author.Department of Mathematics, Lovely Professional University, Phagwara, Punjab, 144411, IndiaThe two hybrid algorithms Sumudu HPM and Elzaki HPM are used in the current study to tackle coupled Burgers' equations and produce accurate results. To demonstrate the validity of the given approaches, three instances are used. Applying Sumudu HPM and Elzaki HPM yields the same approximate and exact answers in all of the examples taken into consideration, which is proved with the help of the accompanying figures. It attests to the entire acceptance and accuracy of the solutions produced by these methods. The proposed regimes also have error and convergence analyses available. The current analytical regimes offer a more effective method of handling partial differential equations than the intricate numerical systems. It is also asserted that exact and approximation solutions are compatible. Also announced is the planned regime's numerical convergence.http://www.sciencedirect.com/science/article/pii/S240584402302933XCoupled 1D and 2D Burgers' equationsSumudu and Elzaki transformHPMError analysisConvergence analysis |
| spellingShingle | Mamta Kapoor Varun Joshi A comparative study of Sumudu HPM and Elzaki HPM for coupled Burgers’ equation Heliyon Coupled 1D and 2D Burgers' equations Sumudu and Elzaki transform HPM Error analysis Convergence analysis |
| title | A comparative study of Sumudu HPM and Elzaki HPM for coupled Burgers’ equation |
| title_full | A comparative study of Sumudu HPM and Elzaki HPM for coupled Burgers’ equation |
| title_fullStr | A comparative study of Sumudu HPM and Elzaki HPM for coupled Burgers’ equation |
| title_full_unstemmed | A comparative study of Sumudu HPM and Elzaki HPM for coupled Burgers’ equation |
| title_short | A comparative study of Sumudu HPM and Elzaki HPM for coupled Burgers’ equation |
| title_sort | comparative study of sumudu hpm and elzaki hpm for coupled burgers equation |
| topic | Coupled 1D and 2D Burgers' equations Sumudu and Elzaki transform HPM Error analysis Convergence analysis |
| url | http://www.sciencedirect.com/science/article/pii/S240584402302933X |
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