A comparison study of solving diffusion equations with different algorithm methods

A comparison study of solving diffusion equations with different algorithm methods

A comparison study for solving diffusion equations with different algorithm methods is studied to understand the oxygen vacancy defect transport under the electric field. We compare computational efficiency and numerical accuracy with different algorithm methods, including finite difference, finite...

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Main Authors: Houbing Huang, Xueyun Wang, Xingqiao Ma
Format: Article
Language:English
Published: AIP Publishing LLC 2016-12-01
Series:AIP Advances
Online Access:http://dx.doi.org/10.1063/1.4972953
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spelling doaj-710cf1d0dd2a413ba94e454dab63dede2020-11-25T01:28:17ZengAIP Publishing LLCAIP Advances2158-32262016-12-01612125043125043-810.1063/1.4972953050612ADVA comparison study of solving diffusion equations with different algorithm methodsHoubing Huang0Xueyun Wang1Xingqiao Ma2Department of Physics, University of Science and Technology Beijing, Beijing 100083, ChinaDepartment of Physics, University of Science and Technology Beijing, Beijing 100083, ChinaDepartment of Physics, University of Science and Technology Beijing, Beijing 100083, ChinaA comparison study for solving diffusion equations with different algorithm methods is studied to understand the oxygen vacancy defect transport under the electric field. We compare computational efficiency and numerical accuracy with different algorithm methods, including finite difference, finite element (COMSOL), and Fourier-Chebysev spectral methods. All the results of oxygen vacancy distribution under an electric field from different algorithm methods are compared with the analytical solution results. Two kinds of boundary conditions are used in solving diffusion equations and the absolute error of different methods are discussed. The main purpose of these results is to provide guidance for studying the role of point defect transport in the degradation and breakdown of devices.http://dx.doi.org/10.1063/1.4972953
collection DOAJ
language English
format Article
sources DOAJ
author Houbing Huang
Xueyun Wang
Xingqiao Ma
spellingShingle Houbing Huang
Xueyun Wang
Xingqiao Ma
A comparison study of solving diffusion equations with different algorithm methods
AIP Advances
author_facet Houbing Huang
Xueyun Wang
Xingqiao Ma
author_sort Houbing Huang
title A comparison study of solving diffusion equations with different algorithm methods
title_short A comparison study of solving diffusion equations with different algorithm methods
title_full A comparison study of solving diffusion equations with different algorithm methods
title_fullStr A comparison study of solving diffusion equations with different algorithm methods
title_full_unstemmed A comparison study of solving diffusion equations with different algorithm methods
title_sort comparison study of solving diffusion equations with different algorithm methods
publisher AIP Publishing LLC
series AIP Advances
issn 2158-3226
publishDate 2016-12-01
description A comparison study for solving diffusion equations with different algorithm methods is studied to understand the oxygen vacancy defect transport under the electric field. We compare computational efficiency and numerical accuracy with different algorithm methods, including finite difference, finite element (COMSOL), and Fourier-Chebysev spectral methods. All the results of oxygen vacancy distribution under an electric field from different algorithm methods are compared with the analytical solution results. Two kinds of boundary conditions are used in solving diffusion equations and the absolute error of different methods are discussed. The main purpose of these results is to provide guidance for studying the role of point defect transport in the degradation and breakdown of devices.
url http://dx.doi.org/10.1063/1.4972953
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AT xueyunwang acomparisonstudyofsolvingdiffusionequationswithdifferentalgorithmmethods
AT xingqiaoma acomparisonstudyofsolvingdiffusionequationswithdifferentalgorithmmethods
AT houbinghuang comparisonstudyofsolvingdiffusionequationswithdifferentalgorithmmethods
AT xueyunwang comparisonstudyofsolvingdiffusionequationswithdifferentalgorithmmethods
AT xingqiaoma comparisonstudyofsolvingdiffusionequationswithdifferentalgorithmmethods
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