Approximate Solutions of Nonlinear Partial Differential Equations by Modified q-Homotopy Analysis Method
| Title: | Approximate Solutions of Nonlinear Partial Differential Equations by Modified q-Homotopy Analysis Method |
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| Authors: | Shaheed N. Huseen, Said R. Grace |
| Source: | Journal of Applied Mathematics, Vol 2013 (2013) |
| Publisher Information: | Hindawi Limited, 2013. |
| Publication Year: | 2013 |
| Collection: | LCC:Mathematics |
| Subject Terms: | Mathematics, QA1-939 |
| More Details: | A modified q-homotopy analysis method (mq-HAM) was proposed for solving nth-order nonlinear differential equations. This method improves the convergence of the series solution in the nHAM which was proposed in (see Hassan and El-Tawil 2011, 2012). The proposed method provides an approximate solution by rewriting the nth-order nonlinear differential equation in the form of n first-order differential equations. The solution of these n differential equations is obtained as a power series solution. This scheme is tested on two nonlinear exactly solvable differential equations. The results demonstrate the reliability and efficiency of the algorithm developed. |
| Document Type: | article |
| File Description: | electronic resource |
| Language: | English |
| ISSN: | 1110-757X 1687-0042 |
| Relation: | https://doaj.org/toc/1110-757X; https://doaj.org/toc/1687-0042 |
| DOI: | 10.1155/2013/569674 |
| Access URL: | https://doaj.org/article/0c62c56e3ad841209f99731ed62069c9 |
| Accession Number: | edsdoj.0c62c56e3ad841209f99731ed62069c9 |
| Database: | Directory of Open Access Journals |
| ISSN: | 1110757X 16870042 |
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| DOI: | 10.1155/2013/569674 |
| Published in: | Journal of Applied Mathematics |
| Language: | English |