Approximate Analytical Solutions of the Regularized Long Wave Equation Using the Optimal Homotopy Perturbation Method
The paper presents the optimal homotopy perturbation method, which is a new method to find approximate analytical solutions for nonlinear partial differential equations. Based on the well-known homotopy perturbation method, the optimal homotopy perturbation method presents an accelerated convergence...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2014/721865 |
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| _version_ | 1850231924466909184 |
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| author | Constantin Bota Bogdan Căruntu |
| author_facet | Constantin Bota Bogdan Căruntu |
| author_sort | Constantin Bota |
| collection | DOAJ |
| description | The paper presents the optimal homotopy perturbation method, which is a new method to find approximate analytical solutions for nonlinear partial differential equations. Based on the well-known homotopy perturbation method, the optimal homotopy perturbation method presents an accelerated convergence compared to the regular homotopy perturbation method. The applications presented emphasize the high accuracy of the method by means of a comparison with previous results. |
| format | Article |
| id | doaj-art-08ada57c643e495ca6da295d2b22d0b7 |
| institution | OA Journals |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-08ada57c643e495ca6da295d2b22d0b72025-08-20T02:03:20ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/721865721865Approximate Analytical Solutions of the Regularized Long Wave Equation Using the Optimal Homotopy Perturbation MethodConstantin Bota0Bogdan Căruntu1Department of Mathematics, Politehnica University of Timişoara, P-ta Victoriei 2, 300006 Timişoara, RomaniaDepartment of Mathematics, Politehnica University of Timişoara, P-ta Victoriei 2, 300006 Timişoara, RomaniaThe paper presents the optimal homotopy perturbation method, which is a new method to find approximate analytical solutions for nonlinear partial differential equations. Based on the well-known homotopy perturbation method, the optimal homotopy perturbation method presents an accelerated convergence compared to the regular homotopy perturbation method. The applications presented emphasize the high accuracy of the method by means of a comparison with previous results.http://dx.doi.org/10.1155/2014/721865 |
| spellingShingle | Constantin Bota Bogdan Căruntu Approximate Analytical Solutions of the Regularized Long Wave Equation Using the Optimal Homotopy Perturbation Method The Scientific World Journal |
| title | Approximate Analytical Solutions of the Regularized Long Wave Equation Using the Optimal Homotopy Perturbation Method |
| title_full | Approximate Analytical Solutions of the Regularized Long Wave Equation Using the Optimal Homotopy Perturbation Method |
| title_fullStr | Approximate Analytical Solutions of the Regularized Long Wave Equation Using the Optimal Homotopy Perturbation Method |
| title_full_unstemmed | Approximate Analytical Solutions of the Regularized Long Wave Equation Using the Optimal Homotopy Perturbation Method |
| title_short | Approximate Analytical Solutions of the Regularized Long Wave Equation Using the Optimal Homotopy Perturbation Method |
| title_sort | approximate analytical solutions of the regularized long wave equation using the optimal homotopy perturbation method |
| url | http://dx.doi.org/10.1155/2014/721865 |
| work_keys_str_mv | AT constantinbota approximateanalyticalsolutionsoftheregularizedlongwaveequationusingtheoptimalhomotopyperturbationmethod AT bogdancaruntu approximateanalyticalsolutionsoftheregularizedlongwaveequationusingtheoptimalhomotopyperturbationmethod |