Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

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

Version 1 : Received: 22 August 2022 / Approved: 24 August 2022 / Online: 24 August 2022 (03:31:12 CEST)

A peer-reviewed article of this Preprint also exists.

Abrarov, S.M.; Siddiqui, R.; Jagpal, R.K.; Quine, B.M. A Two-Domain MATLAB Implementation for Efficient Computation of the Voigt/Complex Error Function. Mathematics 2022, 10, 3451. Abrarov, S.M.; Siddiqui, R.; Jagpal, R.K.; Quine, B.M. A Two-Domain MATLAB Implementation for Efficient Computation of the Voigt/Complex Error Function. Mathematics 2022, 10, 3451.

Abstract

In this work we develop a new algorithm for efficient computation of the Voigt/complex error function. In particular, in this approach we propose a two-domain scheme where number of the 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 spectroscopic database. The run-time test shows that this MATLAB implementation provides rapid computation especially at smaller range of the parameter x.

Keywords

complex error function; Faddeeva function; Voigt function; interpolation

Subject

Computer Science and Mathematics, Applied Mathematics

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