Continuous dependence on data for a solution of the quasilinear parabolic equation with a periodic boundary condition

Boundary value problems

Fatma Kanca¹  Irem Sakinc Baglan² 

[1] Department of Information Technologies, Kadir Has University, Istanbul, Turkey;Department of Mathematics, Kocaeli University, Kocaeli, Turkey

关键词: Parabolic Equation;    Periodic Boundary Condition;    Iteration Method;    Mixed Problem;    Continuous Dependence;   

DOI  :  10.1186/1687-2770-2013-28

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

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.

【 授权许可】

CC BY