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

共 15 条

[1]

[Anonymous], 2001, MONOGR TXB PURE APPL

[2] Convergence of finite difference method for the parabolic problem with concentrated capacity and variable operator [J].

Bojovic, D ;

Jovanovic, BS .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2006, 189 (1-2) :286-303

[3] Numerical approximation of a two-dimensional parabolic time-dependent problem containing a delta function [J].

Bojovic, Dejan R. ;

Sredojevic, Bratislav V. ;

Jovanovic, Bosko S. .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2014, 259 :129-137

[4] Convergence of a finite difference method for solving 2D parabolic interface problems [J].

Bojovic, Dejan R. ;

Jovanovic, Bosko S. .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2012, 236 (15) :3605-3612

[5] BOUNDS FOR A CLASS OF LINEAR FUNCTIONALS WITH APPLICATIONS TO HERMITE INTERPOLATION [J].

BRAMBLE, JH ;

HILBERT, SR .

NUMERISCHE MATHEMATIK, 1971, 16 (04) :362-&

[6]

Grisvard P., 1992, RECHERCHES MATH APPL, V22

[7]

Jovanovic B S., 1993, Posebna izdanja Mat. Instituta, V16

[8]

Jovanovic B.S., 2014, Springer Series in Computational Mathematics

[9] Finite difference approximations for some interface problems with variable coefficients [J].

Jovanovic, Bosko S. ;

Vulkov, Lubin G. .

APPLIED NUMERICAL MATHEMATICS, 2009, 59 (02) :349-372

[10]

Jovanovic BS, 2001, NUMER MATH, V89, P715, DOI 10.1007/S002110100280

← 1 2 →