Browsing 08 Faculty of Arts and Sciences by Author "Aktöre, Hatice"

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Browsing 08 Faculty of Arts and Sciences by Author "Aktöre, Hatice"

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  • Multiplicative Runge-Kutta Methods 
    Aktöre, Hatice (Eastern Mediterranean University (EMU), 2011)
    ABSTRACT: In this thesis the multiplicative Runge-Kutta Method is developed employing the idea of the ordinary Runge-Kutta Method to multiplicative calculus. The multiplicative Runge-Kutta Methods for the orders 2,3, and ...
  • Numerical Approximation Methods using Multiplicative Calculus 
    Aktöre, Hatice (Eastern Mediterranean University EMU, 2015-09)
    In this thesis, the 2nd, 3rd and 4th order multiplicative Runge-Kutta Methods are developed in analogy to the classical Runge-Kutta Method. The error analysis is only carried out for the 4th order multiplicative Runge-Kutta ...
  • The Runge-Kutta method in geometric multiplicative calculus 
    Rıza, Mustafa; Aktöre, Hatice (Cambridge Univ Press, 2015)
    This paper illuminates the derivation, applicability, and efficiency of the multiplicative Runge Kutta method, derived in the framework of geometric multiplicative calculus. The removal of the restrictions of geometric ...