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Efficient numerical schemes for solving the self‐consistent field equations of flexible–semiflexible diblock copolymers
Authors:Qin Liang  Kai Jiang  Pingwen Zhang
Institution:1. LMAM, CAPT and School of Mathematical Sciences, Peking University, Beijing 100871, China;2. Hunan Key Laboratory for Computation and Simulation in Science and Engineering, Xiangtan University, Xiangtan 411105, China
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.
Keywords: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
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