Variation of parameters method with an auxiliary parameter for initial value problems
In this paper, an unknown auxiliary parameter is inserted in Variation of Parameter Method to solve Evolution and RLW equations. The proposed algorithm is very effective and is practically well suited for use in these problems. Three practical examples are given to verify the accuracy and efficiency...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2018-12-01
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| Series: | Ain Shams Engineering Journal |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2090447917300163 |
| _version_ | 1818620709650300928 |
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| author | Waseem Sikandar Umar Khan Naveed Ahmed Syed Tauseef Mohyud-Din |
| author_facet | Waseem Sikandar Umar Khan Naveed Ahmed Syed Tauseef Mohyud-Din |
| author_sort | Waseem Sikandar |
| collection | DOAJ |
| description | In this paper, an unknown auxiliary parameter is inserted in Variation of Parameter Method to solve Evolution and RLW equations. The proposed algorithm is very effective and is practically well suited for use in these problems. Three practical examples are given to verify the accuracy and efficiency of the developed technique. Comparison with the standard VPM is made to show the reliability and efficiency of the proposed algorithm. Keywords: Variation of Parameter Method (VPM), Auxiliary parameter, Evolution and RLW equations |
| first_indexed | 2024-12-16T17:57:42Z |
| format | Article |
| id | doaj.art-f29d5aff3f3b4d898c9a47849a068f6b |
| institution | Directory Open Access Journal |
| issn | 2090-4479 |
| language | English |
| last_indexed | 2024-12-16T17:57:42Z |
| publishDate | 2018-12-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Ain Shams Engineering Journal |
| spelling | doaj.art-f29d5aff3f3b4d898c9a47849a068f6b2022-12-21T22:22:07ZengElsevierAin Shams Engineering Journal2090-44792018-12-019419591963Variation of parameters method with an auxiliary parameter for initial value problemsWaseem Sikandar0Umar Khan1Naveed Ahmed2Syed Tauseef Mohyud-Din3Department of Mathematics, Faculty of Sciences, HITEC University, Taxila Cantt, PakistanDepartment of Mathematics, COMSATS Institute of Information Technology, Abbottabad, PakistanDepartment of Mathematics, Faculty of Sciences, HITEC University, Taxila Cantt, PakistanDepartment of Mathematics, Faculty of Sciences, HITEC University, Taxila Cantt, Pakistan; Corresponding author.In this paper, an unknown auxiliary parameter is inserted in Variation of Parameter Method to solve Evolution and RLW equations. The proposed algorithm is very effective and is practically well suited for use in these problems. Three practical examples are given to verify the accuracy and efficiency of the developed technique. Comparison with the standard VPM is made to show the reliability and efficiency of the proposed algorithm. Keywords: Variation of Parameter Method (VPM), Auxiliary parameter, Evolution and RLW equationshttp://www.sciencedirect.com/science/article/pii/S2090447917300163 |
| spellingShingle | Waseem Sikandar Umar Khan Naveed Ahmed Syed Tauseef Mohyud-Din Variation of parameters method with an auxiliary parameter for initial value problems Ain Shams Engineering Journal |
| title | Variation of parameters method with an auxiliary parameter for initial value problems |
| title_full | Variation of parameters method with an auxiliary parameter for initial value problems |
| title_fullStr | Variation of parameters method with an auxiliary parameter for initial value problems |
| title_full_unstemmed | Variation of parameters method with an auxiliary parameter for initial value problems |
| title_short | Variation of parameters method with an auxiliary parameter for initial value problems |
| title_sort | variation of parameters method with an auxiliary parameter for initial value problems |
| url | http://www.sciencedirect.com/science/article/pii/S2090447917300163 |
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