Browsing by Author "Ashiq, Muhammad"

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    Characteristic Sets Verses Generalized Characteristic Sets
    (Taru Publications, 2021) Afzal, Farkhanda; Akram, Safia; Ashiq, Muhammad; Afzal, Deeba; Cancan, Murat; Ediz, Suleyman
    The notion of characteristic sets that was developed by Ritt and Wu has been turned into an usual tool for study of set/systems of polynomial equations, algebraic as well as differential equations. By constructing a characteristic sets, one can triangularize an arbitrary set/system of any type of polynomials. It ensures that it can be decomposed into triangular form of a particular set/system. In this manuscript, a comparison of characteristic sets defined by Ritt-Wu's differential is provided with the generalized characteristic sets defined by author in [5]. Comparison shows that this scheme performs better than earlier method.