A new algorithm for solving dynamic equations on a time scale
In this paper, we propose a numerical algorithm to solve a class of dynamic time scale equation which is called the q-difference equation. First, we apply the method for solving initial value problems (IVPs) which contain the first and second order delta derivatives. Illustrative examples show the u...
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| Veröffentlicht in: | Journal of computational and applied mathematics 2017-03, Vol.312, p.167-173 |
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| container_title | Journal of computational and applied mathematics |
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| creator | Jafari, H. Haghbin, A. Johnston, S.J. Baleanu, D. |
| description | In this paper, we propose a numerical algorithm to solve a class of dynamic time scale equation which is called the q-difference equation. First, we apply the method for solving initial value problems (IVPs) which contain the first and second order delta derivatives. Illustrative examples show the usefulness of the method. Then we present applications of the method for solving the strongly non-linear damped q-difference equation. The results show that our method is more accurate than the other existing method. |
| doi_str_mv | 10.1016/j.cam.2016.02.047 |
| format | Article |
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| source | Access via ScienceDirect (Elsevier); EZB-FREE-00999 freely available EZB journals |
| subjects | [formula omitted]-difference [formula omitted]-difference equations Algorithms Delta derivative Deltas Derivatives Initial value problems Mathematical analysis Mathematical models Nonlinearity Time Time scale |
| title | A new algorithm for solving dynamic equations on a time scale |
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