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修正相场晶体(MPFC)模型的二阶无条件能量稳定数值格式

HAO Wanrong,JIA Hongen

Mathematica Applicata（2024）

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Abstract
本文研究修正的相场晶体(MPFC)方程的二阶无条件能量稳定数值格式.首先,利用标量辅助变量(SAV)法和二阶向后欧拉(BDF2)公式,得到了一个数值格式;其次,给出了能量耗散定律,严格证明了该数值格式是质量守恒的,唯一可解的,无条件能量稳定的;最后,通过数值实例验证了格式的精度和稳定性.
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Key words
Scalar auxiliary variable,Unconditional energy stability,BDF2,MPFC model
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