Browsing Department of Mathematics by Subject "differential equations"

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Bigeometric Taylor Theorem and its Application to the Numerical Solution of Bigeometric Differential Equations

Eminağa, Buğçe (Eastern Mediterranean University EMU, 2015-09)

Many studies in the field of Bigeometric Calculus are based on an approximation to the Bigeometric Taylor series, as the correct version is not known. The Bigeometric Taylor Series introduced in this research, is derived ...
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 ...