The application of dimension split method in the three-dimensional heat equation

Jianping Zhao; Yanren Hou; Haibiao Zheng; Yongfei Li; Haifeng Wang

doi:10.1002/mma.3804

The application of dimension split method in the three-dimensional heat equation

Jianping Zhao^*
, Yanren Hou
, Haibiao Zheng
, Yongfei Li
, Haifeng Wang

^*此作品的通讯作者

数学科学学院

Xinjiang University
Chinese Academy of Sciences
School of Mathematics and Statistics
Huawei Technologies Co., Ltd.

科研成果: 期刊稿件 › 文章 › 同行评审

摘要

A dimension splitting method (DSM) with Crank–Nicolson time discrete strategy for a three-dimensional heat equation is proposed. The basic idea is to simulate the three-Dimensional problem by numerically solving a series of two-dimensional problems in parallel fashion. Convergence and error estimation for the DSM scheme are derived in the paper. Numerical experiments demonstrate the feasibility and efficiency of the DSM scheme.

源语言	英语
页（从-至）	3506-3515
页数	10
期刊	Mathematical Methods in the Applied Sciences
卷	39
期	12
DOI	https://doi.org/10.1002/mma.3804
出版状态	已出版 - 1 8月 2016

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abstract = "A dimension splitting method (DSM) with Crank–Nicolson time discrete strategy for a three-dimensional heat equation is proposed. The basic idea is to simulate the three-Dimensional problem by numerically solving a series of two-dimensional problems in parallel fashion. Convergence and error estimation for the DSM scheme are derived in the paper. Numerical experiments demonstrate the feasibility and efficiency of the DSM scheme.",

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AU - Hou, Yanren

AU - Zheng, Haibiao

AU - Li, Yongfei

AU - Wang, Haifeng

PY - 2016/8/1

Y1 - 2016/8/1

N2 - A dimension splitting method (DSM) with Crank–Nicolson time discrete strategy for a three-dimensional heat equation is proposed. The basic idea is to simulate the three-Dimensional problem by numerically solving a series of two-dimensional problems in parallel fashion. Convergence and error estimation for the DSM scheme are derived in the paper. Numerical experiments demonstrate the feasibility and efficiency of the DSM scheme.

AB - A dimension splitting method (DSM) with Crank–Nicolson time discrete strategy for a three-dimensional heat equation is proposed. The basic idea is to simulate the three-Dimensional problem by numerically solving a series of two-dimensional problems in parallel fashion. Convergence and error estimation for the DSM scheme are derived in the paper. Numerical experiments demonstrate the feasibility and efficiency of the DSM scheme.

KW - Crank–Nicolson scheme

KW - dimension splitting method

KW - domain decomposition method

KW - heat equation

KW - parallel computing

UR - https://www.scopus.com/pages/publications/84979725681

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JF - Mathematical Methods in the Applied Sciences

IS - 12

ER -

The application of dimension split method in the three-dimensional heat equation

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