A new algorithm for solving dynamic equations on a time scale

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
Hauptverfasser: Jafari, H., Haghbin, A., Johnston, S.J., Baleanu, D.
Format: Artikel
Sprache:eng
Schlagworte:
[formula omitted]-difference
[formula omitted]-difference equations
Algorithms
Delta derivative
Deltas
Derivatives
Initial value problems
Mathematical analysis
Mathematical models
Nonlinearity
Time
Time scale
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Beschreibung
Zusammenfassung: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.
ISSN:0377-0427
1879-1778
DOI:10.1016/j.cam.2016.02.047