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
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Abstract
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
| Item Type: | Article |
|---|---|
| Keywords: | Klein–Gordon equation; homotopy analysis method; analytical solutions |
| Journal: | Journal of Quality Measurement and Analysis |
| ID Code: | 1850 |
| Deposited By: | Ms. Nor Ilya Othman |
| Deposited On: | 15 Jun 2011 04:04 |
| Last Modified: | 14 Dec 2016 06:30 |
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