A geometric modeling of 2-dimensional parabolic problem with periodic boundary condition

F. Kanca1*, I. Baglan2 and G.Öztürk2

doi:10.26637/MJM0601/0032

A geometric modeling of 2-dimensional parabolic problem with periodic boundary condition

Authors :

F. Kanca^1*, I. Baglan² and G.Öztürk²

Author Address :

¹Department of Management Information Systems, Kadir Has University, 34083, Istanbul, Turkey.
²Department of Mathematics, Kocaeli University, 41380, Kocaeli, Turkey.

*Corresponding author.

Abstract :

In this work, we tried to find the solution of a linear 2-dimensional parabolic equation with periodic boundary conditions. It showed the existence, uniqueness of solution by theoritical. Also we consider numerical solution for this problem by using finite differences method. Finally, we give a geometric modeling of the solution which corresponds to a surface.

Keywords :

Two dimensional parabolic equation, egg box surface, geometric modeling.

DOI :

10.26637/MJM0601/0032

Article Info :

Received : June 06, 2017; Accepted : August 07, 2017.