A new algorithm for solving dynamic equations on a time scale
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Date
2017
Journal Title
Journal ISSN
Volume Title
Publisher
Open Access Color
HYBRID
Green Open Access
No
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Publicly Funded
No
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Impulse
Top 10%
Influence
Average
Popularity
Top 10%
Abstract
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. (C) 2016 Elsevier B.V. All rights reserved.
Description
Keywords
Q-Difference Equations, Delta Derivative, Time Scale, Q-Difference, Dynamic equations on time scales or measure chains, numerical example, Difference equations, scaling (\(q\)-differences), Numerical methods for difference equations, nonlinear, numerical algorithm, initial value problems, dynamic time scale equation, \(q\)-difference equations, delta derivative
Fields of Science
0101 mathematics, 01 natural sciences
Citation
Jafari, H...et al. (2017). "A new algorithm for solving dynamic equations on a time scale", Journal of Computational and Applied Mathematics, Vol. 312, pp. 167-173.
WoS Q
Q1
Scopus Q
OpenCitations Citation Count
12
Source
Journal of Computational and Applied Mathematics
Volume
312
Issue
Start Page
167
End Page
173
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Citations
CrossRef : 7
Scopus : 14
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Mendeley Readers : 9
