NUMERICAL SOLUTIONS TO HEAT EQUATIONS VIA THE SPECTRAL METHOD

被引：0
|
作者：
Abdelwahed, Mohamed [1 ]
Chorfi, Nejmeddine [1 ]
Radulescu, Vicentiu [2 ,3 ]
机构：
[1] King Saud Univ, Coll Sci, Dept Math, Riyadh 11451, Saudi Arabia
[2] Romanian Acad, Inst Math Simion Stoilow, POB 1-764, Bucharest 014700, Romania
[3] Univ Craiova, Dept Math, Craiova 200585, Romania
来源：
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2016年
关键词：
Heat equation; Euler's method; spectral discretization; error estimate; A-POSTERIORI ANALYSIS; ELEMENT DISCRETIZATION;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article we study a discretized version of the heat equation. For the time semi-discrete problem, we use an implicit Euler's scheme, and for the space discretization we used the spectral method. We estimate for the error between the exact and approximated discrete solutions, and illustrate the features of our method with numerical examples.
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页数：11
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