北京师范大学学报（自然科学版）2017，Vol.53Issue(6)：643-649,7.DOI:10.16360/j.cnki.jbnuns.2017.06.003
Nernst-Planck-Poisson方程的差分/谱方法求解
Difference/spectral methods for Nernst-Planck-Poisson equation
摘要
Abstract
Numerical methods for Nernst-Planck-Poisson equation are investigated.Stability of weak solution is derived.Several time-discretizations are proposed,and certain of their different properties are demonstrated,such as non-negativity of discrete concentrations,stability condition,and unconditional stability.With application to spectral discretization in space,full discrete numerical schemes are given.Numerical tests carried out show first/second order convergence in time,spectral convergence in space,nonnegativity of numerical solution of concentration.关键词
Nernst-Planck-Poisson方程/稳定化的有限差分格式/谱方法Key words
Nernst-Planck-Poisson equation/stabilized finite difference schemes/spectral method分类
数理科学引用本文复制引用
刘晓玲,许传炬,陈清华..Nernst-Planck-Poisson方程的差分/谱方法求解[J].北京师范大学学报（自然科学版）,2017,53(6):643-649,7.基金项目
国家自然科学基金资助项目(11471274,71671017) （11471274,71671017）
北京师范大学学科建设经费教师自主项目 （）
