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.

引用

页码：331 / 338

页数：8

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