Bogoliubov-Tolmachev-Shirkov模型临界温度和能隙解的数值方法

Numerical Methods for the Critical Temperature and Gap Solution of Bogoliubov-Tolmachev-Shirkov Model

该文给出了近似求解超导理论中Bogoliubov-Tolmachev-Shirkov模型的临界温度和能隙解的最大-混合格式和最小-混合格式,首次对具有变号核函数的上述模型给出了临界温度和能隙解的数值解,给出了该数值方法的收敛性分析.最后给出了一些数值算例来验证理论结果.

In the paper,the max-mixed scheme and min-mixed scheme are proposed for the critical temperature and gap solution of Bogoliubov-Tolmachev-Shirkov model in superconductivity theory.For the first time,the numerical solutions of critical temperature and gap solution are given for the above model with the alternating kernel function.The convergence analysis of the numerical method is also given.Also,some numerical examples are presented to verify the results of the paper.