Efficient numerical schemes for solving the self‐consistent field equations of flexible–semiflexible diblock copolymers. (10th July 2013)

• Record Type: Journal Article
• Authors: Liang, Qin; Jiang, Kai; Zhang, Pingwen
• Is Part Of: Mathematical methods in the applied sciences. Volume 38:Number 18(2015:Dec. 15)
• Page Start: 4553
• Page End: 4563
• Publication Date: 2013-07-10
• Subjects: flexible‐semiflexible diblock copolymers -- self‐consistent field theory -- pseudo‐spectral method -- semi‐implicit scheme -- conjugate gradient method -- hybrid scheme, subjclass=65C20 -- 90C47 -- 90C53 -- 82D60, commby=Q. Wang; Mathematics -- Periodicals; Technology -- Mathematics -- Periodicals; 519
• DOI: 10.1002/mma.2868
• Languages: English
• ISSNs: 0170-4214

Abstract

Abstract : We present two efficient iterative schemes for solving the self‐consistent field equations of flexible–semiflexible diblock copolymers. One is a semi‐implicit scheme developed by employing asymptotic expansion, and the other is a hybrid scheme combining the robustness of the steepest descent method with the efficiency of the conjugate gradient method. In our position‐one‐dimensional and position‐two‐dimensional numerical experiments, we demonstrate that these schemes are much more efficient than the steepest descent method. Copyright © 2013 John Wiley & Sons, Ltd.