A New Alternating Segment Crank-Nicolson Scheme for the Fourth-Order Parabolic Equation. (5th August 2013)

• Record Type: Journal Article
• Authors: Guo, Ge-yang; Liu, Bo
• Other Names: Ferreira J. A. Academic Editor.; Yee E. Academic Editor.
• Is Part Of: ISRN applied mathematics. Volume 2013(2013)
• Publication Date: 2013-08-05
• Subjects: Mathematics -- Periodicals; Mathematics; Periodicals; Electronic journals; 510
• DOI: 10.1155/2013/370789
• Languages: English
• ISSNs: 2090-5564

Abstract

Abstract : A group of asymmetric difference schemes to approach the fourth-order parabolic equation is given. According to these schemes and the Crank-Nicolson scheme, an alternating segment Crank-Nicolson scheme with intrinsic parallelism is constructed. The truncation errors and the stability are discussed. Numerical simulations show that this new scheme has unconditional stability and high accuracy and convergency, and it is in preference to the implicit scheme method.