Numerical Methods for the Bogoliubov-Tolmachev-Shirkov model in superconductivity theory

TL;DR

This paper develops novel numerical methods to analyze the Bogoliubov-Tolmachev-Shirkov model in superconductivity, accurately determining critical temperatures and energy gaps, with validation through a numerical example.

Contribution

Introduces new numerical techniques specifically designed for the Bogoliubov-Tolmachev-Shirkov model in superconductivity theory.

Findings

Effective methods for critical temperature calculation

Accurate approximation of the energy gap function

Numerical example confirms theoretical predictions

Abstract

In the work, the numerical methods are designed for the Bogoliubov-Tolmachev-Shirkov model in superconductivity theory. The numerical methods are novel and effective to determine the critical transition temperature and approximate to the energy gap function of the above model. Finally, a numerical example confirming the theoretical results is presented.