A Two-Domain MATLAB Implementation for Efficient Computation of the Voigt/Complex Error Function

Abstract

In this work we develop a new algorithm for the efficient computation of the Voigt/complex error function. In particular, in this approach we propose a two-domain scheme where the number of the interpolation grid-points is dependent on the input parameter y. The error analysis we performed shows that the MATLAB implementation meets the requirements for radiative transfer applications involving the HITRAN molecular spectroscopic database. The run-time test shows that this MATLAB implementation provides rapid computation, especially at smaller ranges of the parameter x.

Research on mechanism dimension synthesis method of 4-bar mechanism based on improved artificial bee colony algorithm

“…Firstly, a planar 4-bar mechanism model (Rao and Pawar, 2023;Sabry et al, 2020;Leticia et al, 2020) is constructed to derive the planar coordinate relationship equations of the motion trajectory points. The optimized design variables parameters are determined, the optimized error functions (Bustos et al, 2018;Mohammad, 2023;Abrarov et al, 2022) are constructed and the constraints (Fomin and Paramonov, 2016) are added. Then, the optimized design variables of the 4-bar mechanism are optimized by the improved artificial bee colony algorithm and the optimized results of the motion trajectory of the 4-bar mechanism are simulated by Matlab software and compared with the optimization results of other optimization algorithms, which provides a theoretical basis for an in-depth study of the error of the motion trajectory of the 4-bar mechanism.…”