Browsing by Author "Haghbin, A."

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    A new algorithm for solving dynamic equations on a time scale
    (2017) Jafari, H.; Haghbin, A.; Johnston, S. J.; Baleanu, Dumitru
    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.
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    Citation - WoS: 20
    Citation - Scopus: 27
    Solving Partial Q-Differential Equations Within Reduced Q-Differential Transformation Method
    (Editura Acad Romane, 2014) Jafari, H.; Baleanu, Dumitru; Haghbin, A.; Hesam, S.; Baleanu, D.; Matematik
    In this paper, the reduced q-differential transform method is presented for solving partial differential equations. In this method, the solution is calculated in the form of convergent power series with easily computable components. Three test problems are discussed to illustrate the effectiveness and performance of the proposed method. The results show that the proposed iteration technique is very effective and convenient.