Efficient numerical schemes for solving the self‐consistent field equations of flexible–semiflexible diblock copolymers |
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Authors: | Qin Liang Kai Jiang Pingwen Zhang |
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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 |
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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. |
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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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