Acta mathematica scientia,Series A ›› 2020, Vol. 40 ›› Issue (6): 1699-1711.

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

Zhihao Ge*(),Ruihua Li   

  1. School of Mathematics and Statistics, Henan University, Henan Kaifeng 475004
  • Received:2018-12-19 Online:2020-12-26 Published:2020-12-29
  • Contact: Zhihao Ge
  • Supported by:
    the NSFC(11971150);the Cultivation Project of First Class Subject of Henan University(2019YLZDJL08)


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.

Key words: Bogoliubov-Tolmachev-Shirkov model, Critical temperature, Gap solution, Convergence analysis

CLC Number: 

  • O241.82