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...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Sprog: | English |
| Udgivet: |
AIP Publishing LLC
2016-12-01
|
| Serier: | AIP Advances |
| Online adgang: | http://dx.doi.org/10.1063/1.4972953 |
| _version_ | 1828861945880510464 |
|---|---|
| author | Houbing Huang Xueyun Wang Xingqiao Ma |
| author_facet | Houbing Huang Xueyun Wang Xingqiao Ma |
| author_sort | Houbing Huang |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-12-13T03:13:46Z |
| format | Article |
| id | doaj.art-710cf1d0dd2a413ba94e454dab63dede |
| institution | Directory Open Access Journal |
| issn | 2158-3226 |
| language | English |
| last_indexed | 2024-12-13T03:13:46Z |
| publishDate | 2016-12-01 |
| publisher | AIP Publishing LLC |
| record_format | Article |
| series | AIP Advances |
| spelling | doaj.art-710cf1d0dd2a413ba94e454dab63dede2022-12-22T00:01:32ZengAIP 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 |
| spellingShingle | Houbing Huang Xueyun Wang Xingqiao Ma A comparison study of solving diffusion equations with different algorithm methods AIP Advances |
| title | 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_short | A comparison study of solving diffusion equations with different algorithm methods |
| title_sort | comparison study of solving diffusion equations with different algorithm methods |
| url | http://dx.doi.org/10.1063/1.4972953 |
| work_keys_str_mv | AT houbinghuang acomparisonstudyofsolvingdiffusionequationswithdifferentalgorithmmethods AT xueyunwang acomparisonstudyofsolvingdiffusionequationswithdifferentalgorithmmethods AT xingqiaoma acomparisonstudyofsolvingdiffusionequationswithdifferentalgorithmmethods AT houbinghuang comparisonstudyofsolvingdiffusionequationswithdifferentalgorithmmethods AT xueyunwang comparisonstudyofsolvingdiffusionequationswithdifferentalgorithmmethods AT xingqiaoma comparisonstudyofsolvingdiffusionequationswithdifferentalgorithmmethods |