Continuous dependence on data for a solution of the quasilinear parabolic equation with a periodic boundary condition
1 Department of Information Technologies, Kadir Has University, Istanbul, 34083, Turkey
2 Department of Mathematics, Kocaeli University, Kocaeli, 41380, Turkey
Boundary Value Problems 2013, 2013:28 doi:10.1186/1687-2770-2013-28Published: 14 February 2013
In this paper we consider a parabolic equation with a periodic boundary condition and we prove the stability of a solution on the data. We give a numerical example for the stability of the solution on the data.