Yazarlar
Yayınlar
- MakaleAçık Erişim2013Spaces of continuous and bounded functions over the field of geometric complex numbers
Cakir, Zafer
Following Grossman and Katz (Non-Newtonian Calculus, 1972), we construct the sets B(A) and C(A) of geometric complex-valued bounded and continuous functions, where A denotes the compact subset of the complex plane C. We show that the sets B(A) and C(A) of complex-valued bounded and continuous functions form a vector space with respect to the addition and scalar multiplication in the sense of multiplicative calculus. Finally, we prove that B(A) and C(A) are complete metric spaces.
- MakaleAçık Erişim2013FDM for fractional parabolic equations with the Neumann condition
Ashyralyev, Allaberen; Cakir, Zafer
In the present study, the first and second order of accuracy stable difference schemes for the numerical solution of the initial boundary value problem for the fractional parabolic equation with the Neumann boundary condition are presented. Almost coercive stability estimates for the solution of these difference schemes are obtained. The method is illustrated by numerical examples.