Browsing 08 Faculty of Arts and Sciences by Author "Özyapıcı, Ali"

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Multiplicative Finite Difference Methods

Rıza, Mustafa; Özyapıcı, Ali; Mısırlı, Emine (Brown University, 2009)

Based on multiplicative calculus, the finite difference schemes for the numerical solution of multiplicative differential equations and Volterra differential equations are presented. Sample problems were solved using these ...
On modeling with multiplicative differential equations

Tandoğdu, Yücel; Bashirov, Agamirza; Mısırlı, Emine; Özyapıcı, Ali (SP Editorial Committee of Applied Mathematics - A Journal of Chinese Universities, 2011)

This work is aimed to show that various problems from different fields can be modeled more efficiently using multiplicative calculus, in place of Newtonian calculus. Since multiplicative calculus is still in its infancy, ...
On multiplicative and Volterra minimization methods

Özyapıcı, Ali; Rıza, Mustafa; Bilgehan, Bülent; Bashirov, Agamirza (Springer US, 2014)

Theory and applications of multiplicative and Volterra calculi have been evolving rapidly over the recent years. As numerical minimization methods have a wide range of applications in science and engineering, the idea of ...