Lie Group Method of the Diffusion Equations
The diffusion equation is discretized in spacial direction and transformed into the ordinary differential equations. The ordinary differential equations are solved by Lie group method and the explicit Runge-Kutta method. Numerical results showed that Lie group method is more stable than the correspo...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
|
| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2014/641918 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832547256483446784 |
|---|---|
| author | Jian-Qiang Sun Rong-Fang Huang Xiao-Yan Gu Ling Yu |
| author_facet | Jian-Qiang Sun Rong-Fang Huang Xiao-Yan Gu Ling Yu |
| author_sort | Jian-Qiang Sun |
| collection | DOAJ |
| description | The diffusion equation is discretized in spacial direction and transformed
into the ordinary differential equations. The ordinary differential equations are solved by
Lie group method and the explicit Runge-Kutta method. Numerical results showed that
Lie group method is more stable than the corresponding explicit Runge-Kutta method. |
| format | Article |
| id | doaj-art-e398235441ad4a4bba733267ab141222 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-e398235441ad4a4bba733267ab1412222025-02-03T06:45:28ZengWileyAdvances in Mathematical Physics1687-91201687-91392014-01-01201410.1155/2014/641918641918Lie Group Method of the Diffusion EquationsJian-Qiang Sun0Rong-Fang Huang1Xiao-Yan Gu2Ling Yu3Department of Mathematics, College of Information Science and Technology, Hainan University, Haikou 570228, ChinaDepartment of Mathematics, College of Information Science and Technology, Hainan University, Haikou 570228, ChinaDepartment of Physics, East China University of Science and Technology, Shanghai 200237, ChinaDepartment of Mathematics, College of Information Science and Technology, Hainan University, Haikou 570228, ChinaThe diffusion equation is discretized in spacial direction and transformed into the ordinary differential equations. The ordinary differential equations are solved by Lie group method and the explicit Runge-Kutta method. Numerical results showed that Lie group method is more stable than the corresponding explicit Runge-Kutta method.http://dx.doi.org/10.1155/2014/641918 |
| spellingShingle | Jian-Qiang Sun Rong-Fang Huang Xiao-Yan Gu Ling Yu Lie Group Method of the Diffusion Equations Advances in Mathematical Physics |
| title | Lie Group Method of the Diffusion Equations |
| title_full | Lie Group Method of the Diffusion Equations |
| title_fullStr | Lie Group Method of the Diffusion Equations |
| title_full_unstemmed | Lie Group Method of the Diffusion Equations |
| title_short | Lie Group Method of the Diffusion Equations |
| title_sort | lie group method of the diffusion equations |
| url | http://dx.doi.org/10.1155/2014/641918 |
| work_keys_str_mv | AT jianqiangsun liegroupmethodofthediffusionequations AT rongfanghuang liegroupmethodofthediffusionequations AT xiaoyangu liegroupmethodofthediffusionequations AT lingyu liegroupmethodofthediffusionequations |