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

^*Corresponding author for this work

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	3506-3515
Number of pages	10
Journal	Mathematical Methods in the Applied Sciences
Volume	39
Issue number	12
DOIs	https://doi.org/10.1002/mma.3804
State	Published - 1 Aug 2016

Keywords

Crank–Nicolson scheme
dimension splitting method
domain decomposition method
heat equation
parallel computing

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10.1002/mma.3804

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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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T1 - The application of dimension split method in the three-dimensional heat equation

AU - Zhao, Jianping

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

U2 - 10.1002/mma.3804

DO - 10.1002/mma.3804

M3 - 文章

AN - SCOPUS:84979725681

SN - 0170-4214

VL - 39

SP - 3506

EP - 3515

JO - Mathematical Methods in the Applied Sciences

JF - Mathematical Methods in the Applied Sciences

IS - 12

ER -

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

Abstract

Keywords

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