On the stability and convergence of nonlocal difference schemes

被引：0
作者：
A. A. Alikhanov
机构：
[1] Kabardino-Balkar State University,
来源：
Differential Equations | 2010年 / 46卷
关键词：
Differential Equation; Heat Equation; Continuous Dependence; Parabolic Type; Nonlocal Boundary;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study nonlocal boundary value problems of the first and second kind for the heat equation with variable coefficients in the differential and finite-difference settings. By using the method of energy inequalities, we obtain a priori estimates for the corresponding differential and finite-difference problems.
引用
收藏
页码：949 / 961
页数：12
相关论文
共 7 条
  • [1] Alikhanov A.A.(2008)Nonlocal Boundary Value Problems in Differential and Difference Settings Differ. Uravn. 44 924-931
  • [2] Il’in V.A.(1986)A Nonlocal Boundary Value Problem for the Sturm-Liouville Operator in Differential and Difference Settings Dokl. Akad. Nauk SSSR 291 534-540
  • [3] Moiseev E.I.(1987)A Nonlocal Boundary Value Problem of the Second Kind for the Sturm-Liouville Operator Differ. Uravn. 23 1422-1431
  • [4] Il’in V.A.(1968)The Convergence of Difference Schemes Which Approximate the Second and Third Boundary Value Problems for Elliptic Operators Zh. Vychisl. Mat. Mat. Fiz. 8 1228-1231
  • [5] Moiseev E.I.(1963)Homogeneous Difference Schemes on Nonuniform Grids for Equations of Parabolic Type Zh. Vychisl. Mat. Mat. Fiz. 3 266-298
  • [6] Andreev V.B.(undefined)undefined undefined undefined undefined-undefined
  • [7] Samarskii A.A.(undefined)undefined undefined undefined undefined-undefined
1