Bivariate rational approximations of the general temperature integral
| Autor: | Alireza Aghili, Julien Ugon, Nadezda Sukhorukova |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
Arrhenius equation
Class (set theory) Approximations of π Applied Mathematics Frequency factor 02 engineering and technology General Chemistry Bivariate analysis 021001 nanoscience & nanotechnology 01 natural sciences 010406 physical chemistry 0104 chemical sciences Quasiconvex function symbols.namesake Bisection method symbols Applied mathematics Minification 0210 nano-technology Mathematics |
| Zdroj: | Journal of Mathematical Chemistry. 59:2049-2062 |
| ISSN: | 1572-8897 0259-9791 |
| DOI: | 10.1007/s10910-021-01273-z |
| Popis: | The non-isothermal analysis of materials with the application of the Arrhenius equation involves temperature integration. If the frequency factor in the Arrhenius equation depends on temperature with a power-law relationship, the integral is known as the general temperature integral. This integral which has no analytical solution is estimated by the approximation functions with different accuracies. In this article, the rational approximations of the integral were obtained based on the minimization of the maximal deviation of bivariate functions. Mathematically, these problems belong to the class of quasiconvex optimization and can be solved using the bisection method. The approximations obtained in this study are more accurate than all approximates available in the literature. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|