A reproducing kernel method for solving heat conduction equations with delay

被引：21
|
作者：
Niu, Jing [1 ]
Sun, Lixia [2 ]
Xu, Minqiang [3 ]
Hou, Jinjiao [1 ]
机构：
[1] Harbin Normal Univ, Sch Math & Sci, Harbin 150025, Heilongjiang, Peoples R China
[2] Zhejiang Univ Water Resources & Elect Power, Hangzhou 310018, Zhejiang, Peoples R China
[3] Zhejiang Univ Technol, Coll Sci, Hangzhou 310014, Zhejiang, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2020年 / 100卷
关键词：
Heat conduction equation; Delay; Reproducing kernel method; Convergence; NUMERICAL-SOLUTION; CONVERGENCE;
D O I：
10.1016/j.aml.2019.106036
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We attempt to propose a numerical algorithm for the one-dimensional conduction equations with delay. Firstly, a novel reproducing kernel space satisfying the delay condition is constructed, then an approximating solution space is derived by using the orthogonal projection. In fact, the proposed scheme is a collocation method. The unique solvability as well as uniform convergence of the new scheme is discussed. Two numerical experiments are provided to illustrate our theory. (C) 2019 Elsevier Ltd. All rights reserved.
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页数：7
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