31
Views
19
CrossRef citations to date
0
Altmetric
Original Articles

Alternating block explicit-implicit method for the two-dimensional diffusion equation

&
Pages 241-255 | Published online: 08 May 2007

Keep up to date with the latest research on this topic with citation updates for this article.

Read on this site (3)

Zhihua Xie, Jianguo Lin & Juntao Zhou. (2008) A new unconditionally stable explicit scheme for the convection–diffusion equation with Robin boundary conditions. International Journal of Computer Mathematics 85:12, pages 1833-1847.
Read now
Han Zhen, Fu Hongyuan & Shen Longjun. (1994) Pure alternating block explicit-implicit method for the diffusion equation in two space dimensions. International Journal of Computer Mathematics 51:1-2, pages 81-93.
Read now
Chen Jing & Zhang Bao-Lin. (1992) A class of alternating block crank-nicolson method. International Journal of Computer Mathematics 45:1-2, pages 89-112.
Read now

Articles from other publishers (15)

Fei Hou, Yu Bai & Jun Dong. (2014) Numerical Analysis of the 2-Dimensional Diffusion Models of Choride Ions Based on the FDM with Alternating Direction Implicit Schemes. Advanced Materials Research 1020, pages 92-97.
Crossref
Ruimin Zhao, Wenzhang He & Geyang Guo. (2010) Finite difference parallel schemes based on follow-flow scheme for KdV equation. Finite difference parallel schemes based on follow-flow scheme for KdV equation.
Yu Zhuang. (2007) An alternating explicit–implicit domain decomposition method for the parallel solution of parabolic equations. Journal of Computational and Applied Mathematics 206:1, pages 549-566.
Crossref
Rohallah Tavakoli & Parviz Davami. (2007) 2D parallel and stable group explicit finite difference method for solution of diffusion equation. Applied Mathematics and Computation 188:2, pages 1184-1192.
Crossref
Rohallah Tavakoli & Parviz Davami. (2006) New stable group explicit finite difference method for solution of diffusion equation. Applied Mathematics and Computation 181:2, pages 1379-1386.
Crossref
Wang Wen-qia. (2004) A class of alternating group method of Burgers’ equation. Applied Mathematics and Mechanics 25:2, pages 236-244.
Crossref
Jiaquan Gao & Guixia He. (2003) An unconditionally stable parallel difference scheme for parabolic equations. Applied Mathematics and Computation 135:2-3, pages 391-398.
Crossref
Wang Wen-qia. (2003) The alternating segment crank-nicolson method for solving convection-diffusion equation with variable coefficient. Applied Mathematics and Mechanics 24:1, pages 32-42.
Crossref
Wan Zheng-su & Zhang Bao-lin. (2002) Design and analysis of finite difference domain decomposition algorithms for the two-dimensional heat equation. Design and analysis of finite difference domain decomposition algorithms for the two-dimensional heat equation.
Zhang Bao-Lin. (2000) Difference Graphs of Block ADI Method. SIAM Journal on Numerical Analysis 38:3, pages 742-752.
Crossref
Baolin Zhang & Hongyuan Fu. (1999) Difference graphs of a class of alternating block Crank-Nicolson methods. Chinese Science Bulletin 44:19, pages 1763-1767.
Crossref
Baolin Zhang. (1998) Alternating difference block methods and their difference graphs. Science in China Series E: Technological Sciences 41:5, pages 482-487.
Crossref
Liu Xiao-Yu & Zhang Bao-Lin. (1996) Local one-dimensional ase-i scheme for 2D diffusion equation. Wuhan University Journal of Natural Sciences 1:3-4, pages 515-521.
Crossref
Zhang Baolin & Li Wenzhi. (1994) On Alternating Segment Crank-Nicolson scheme. Parallel Computing 20:6, pages 897-902.
Crossref
Chen Jing & Zhang Baolin. (1993) Alternating band Crank-Nicolson method for $$\frac{{\partial {\text{u}}}}{{\partial {\text{t}}}} = \frac{{\partial ^2 {\text{u}}}}{{\partial {\text{x}}^{\text{2}} }} + \frac{{\partial ^2 {\text{u}}}}{{\partial {\text{y}}^{\text{2}} }}$$. Applied Mathematics-A Journal of Chinese Universities 8:2, pages 150-162.
Crossref

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.