On a difference scheme of the second order of accuracy for elliptic-parabolic equations

Boundary value problems

Okan Gercek¹  Allaberen Ashyralyev⁴ 

[1] Department of Mathematics, Fatih University, Büekmece, Turkey;kçyü

关键词: difference scheme;    elliptic-parabolic equation;    well-posedness;   

DOI  :  10.1186/1687-2770-2012-80

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

The second order of accuracy difference scheme generated by Crank-Nicholson difference scheme for approximately solving multipoint nonlocal boundary value problem is considered. Well-posedness of this difference scheme in Hölder spaces is established. Furthermore, as applications, coercivity estimates in Hölder norms for approximate solutions of the multipoint nonlocal boundary value problems for mixed type equations are obtained. Moreover, the method is illustrated by numerical examples.

【 授权许可】

CC BY