FDM for fractional parabolic equations with the Neumann condition

Advances in Difference Equations

Allaberen Ashyralyev¹  Zafer Cakir² 

[1] Department of Mathematics, Fatih University, Istanbul, Turkey;Department of Mathematics, ITTU, Ashgabat, Turkmenistan

关键词: fractional parabolic equations;    Neumann condition;    difference schemes;    stability;   

DOI  :  10.1186/1687-1847-2013-120

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

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. MSC:34K37, 35R11, 35B35, 39A14, 47B48.

【 授权许可】

CC BY