Fractional Order Convergence Rate Estimate of Finite-Difference Method for the Heat Equation with Concentrated Capacity

被引：1
|
作者：
Sredojevic, Bratislav, V [1 ]
Bojovic, Dejan R. [2 ]
机构：
[1] Univ Kragujevac, Fac Mech & Civil Engn Kraljevo, Dositejeva 19, Kraljevo 36000, Serbia
[2] Univ Kragujevac, Fac Sci, R Domanovica 12, Kragujevac 34000, Serbia
来源：
FILOMAT | 2021年 / 35卷 / 01期
关键词：
Partial differential equations; Delta function; Sobolev space; Convergence; APPROXIMATION;
D O I：
10.2298/FIL2101331S
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The convergence of difference scheme for initial-boundary value problem for the heat equation with concentrated capacity and time-dependent coefficient of the space derivatives, is considered. Fractional order convergence rate estimate in a special discrete Sobolev norms , compatible with the smoothness of the coefficient and solution, is proved.
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页码：331 / 338
页数：8
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