Approximate analytical solutions of the Klein-Gordon equation by means of the homotopy analysis method
In this paper, the homotopy analysis method (HAM) is implemented to give approximate and analytical solutions for the Klein–Gordon equation. The auxiliary parameter ℏ in the HAM solutions has provided a convenient way of controlling the convergent region of series solutions. This problem shows rapid...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Penerbit ukm
2008
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| Online Access: | http://journalarticle.ukm.my/1850/1/JQMA4%281%29-04-alomari-drk.pdf |
| _version_ | 1796927447083515904 |
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| author | A.K. Alomari, Mohd Salmi Md Noorani, Roslinda Mohd Nazar, |
| author_facet | A.K. Alomari, Mohd Salmi Md Noorani, Roslinda Mohd Nazar, |
| author_sort | A.K. Alomari, |
| collection | UKM |
| description | In this paper, the homotopy analysis method (HAM) is implemented to give approximate and analytical solutions for the Klein–Gordon equation. The auxiliary parameter ℏ in the HAM solutions has provided a convenient way of controlling the convergent region of series solutions. This problem shows rapid convergence of the sequence constructed by this method to the exact solution. Moreover, this technique reduces the volume of calculations by avoiding discretization of the variables, linearization or small perturbations |
| first_indexed | 2024-03-06T03:44:14Z |
| format | Article |
| id | ukm.eprints-1850 |
| institution | Universiti Kebangsaan Malaysia |
| language | English |
| last_indexed | 2024-03-06T03:44:14Z |
| publishDate | 2008 |
| publisher | Penerbit ukm |
| record_format | dspace |
| spelling | ukm.eprints-18502016-12-14T06:30:20Z http://journalarticle.ukm.my/1850/ Approximate analytical solutions of the Klein-Gordon equation by means of the homotopy analysis method A.K. Alomari, Mohd Salmi Md Noorani, Roslinda Mohd Nazar, In this paper, the homotopy analysis method (HAM) is implemented to give approximate and analytical solutions for the Klein–Gordon equation. The auxiliary parameter ℏ in the HAM solutions has provided a convenient way of controlling the convergent region of series solutions. This problem shows rapid convergence of the sequence constructed by this method to the exact solution. Moreover, this technique reduces the volume of calculations by avoiding discretization of the variables, linearization or small perturbations Penerbit ukm 2008-07 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/1850/1/JQMA4%281%29-04-alomari-drk.pdf A.K. Alomari, and Mohd Salmi Md Noorani, and Roslinda Mohd Nazar, (2008) Approximate analytical solutions of the Klein-Gordon equation by means of the homotopy analysis method. Journal of Quality Measurement and Analysis, 4 (1). pp. 45-57. ISSN 1823-5670 http://www.ukm.my/~ppsmfst/jqma/index.html |
| spellingShingle | A.K. Alomari, Mohd Salmi Md Noorani, Roslinda Mohd Nazar, Approximate analytical solutions of the Klein-Gordon equation by means of the homotopy analysis method |
| title | Approximate analytical solutions of the Klein-Gordon equation by means of the homotopy analysis method |
| title_full | Approximate analytical solutions of the Klein-Gordon equation by means of the homotopy analysis method |
| title_fullStr | Approximate analytical solutions of the Klein-Gordon equation by means of the homotopy analysis method |
| title_full_unstemmed | Approximate analytical solutions of the Klein-Gordon equation by means of the homotopy analysis method |
| title_short | Approximate analytical solutions of the Klein-Gordon equation by means of the homotopy analysis method |
| title_sort | approximate analytical solutions of the klein gordon equation by means of the homotopy analysis method |
| url | http://journalarticle.ukm.my/1850/1/JQMA4%281%29-04-alomari-drk.pdf |
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