E ISSN: 2583-049X
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International Journal of Advanced Multidisciplinary Research and Studies

Volume 2, Issue 3, 2022

Mathematical 3D Graphical Optimization and Approximation Methods for Primary Molecular Effect Model in High Temperature Superconductors [Sn-Sb-Te-Ba-Mn-Cu-O] Group



Author(s): Dr. Francisco Casesnoves

Abstract:

In previous research, Molecular Effect Model (MEM) with Inverse Least Squares (ILS) 2D Numerical/Graphical Optimization methods for [Sn-Sb-Te-Ba-Mn-Cu-O] High Temperature Superconductors (HTSC) class were presented. This HTSCs Critical Temperature group [Sn-Sb-Te-Ba-Mn-Cu-O] has the characteristic TC > 0° for all its compounds. Results in this contribution show three main parts. Namely, MEM equations/algorithms, MEM equations approximations, and 2D/3D MEM Graphical Optimization. Solutions involve Tikhonov Regularization algorithms and mathematical methods for this HTSCs group. Mathematical-programming outcomes for optimization this Type II HTSCs are demonstrated with ILS polynomial data in Matlab and GNU-Octave. Rulings present acceptable Numerical and 2D/3D Graphical Optimization solutions. Results show software-programming improvements in accuracy with low residuals supporting primarily MEM. Electronics Superconductors Physics applications/modelling emerge from all findings.


Keywords: Interior Optimization (IO) Methods, Critical Temperature (TC), Graphical Optimization, Systems of Nonlinear Equations

Pages: 168-172

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