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A Chebyshev-Gauss collocation method for the numerical solutionof ordinary differential equations |
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| รหัสดีโอไอ | |
| Creator | 1. Kanyakorn Cheuprasert 2. Nairat Kanyamee |
| Title | A Chebyshev-Gauss collocation method for the numerical solutionof ordinary differential equations |
| Publisher | Research and Development Office, Prince of Songkla University |
| Publication Year | 2560 |
| Journal Title | Songklanakarin Journal of Science and Technology (SJST) |
| Journal Vol. | 39 |
| Journal No. | 3 |
| Page no. | 383 |
| Keyword | spectral methods,collocation methods,Chebyshev-Gauss collocation method,spectral accuracy,ordinary differential equations |
| ISSN | 0125-3395 |
| Abstract | This paper presents a Chebyshev-Gauss collocation method to determine an approximate solution to the initial valueproblems of ordinary differential equations. We propose an algorithm to solve an ordinary differential equation on a singleintervaldomain and extend the algorithm to a multi-interval domain. We then generalize the algorithm to the system of ordinarydifferential equations including the Hamiltonian systems. Numerical results show that the proposed method gives a spectralaccuracy. The comparison of our method to some related work is provided to show the accomplishment of the method. |
