New Refinements for the Error Function with Applications in Diffusion Theory

New Refinements for the Error Function with Applications in Diffusion Theory

In this paper we provide approximations for the error function using the Padé approximation method and the Fourier series method. These approximations have simple forms and acceptable bounds for the absolute error. Then we use them in diffusion theory.

Bibliographic Details
Main Author: Gabriel Bercu
Format: Article
Language:English
Published: MDPI AG 2020-12-01
Series:Symmetry
Subjects:
error function
rational refinement
Padé approximant
bound
Fourier series
analytic inequalities
Online Access:https://www.mdpi.com/2073-8994/12/12/2017
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spelling doaj-dab11a8d813f47a1ab04094dbe0ed9292020-12-07T00:02:02ZengMDPI AGSymmetry2073-89942020-12-01122017201710.3390/sym12122017New Refinements for the Error Function with Applications in Diffusion TheoryGabriel Bercu0Department of Mathematics and Computer Sciences, “Dunărea de Jos” University of Galaţi, 111 Domnească Street, 800201 Galaţi, RomaniaIn this paper we provide approximations for the error function using the Padé approximation method and the Fourier series method. These approximations have simple forms and acceptable bounds for the absolute error. Then we use them in diffusion theory.https://www.mdpi.com/2073-8994/12/12/2017error functionrational refinementPadé approximantboundFourier seriesanalytic inequalities
collection DOAJ
language English
format Article
sources DOAJ
author Gabriel Bercu
spellingShingle Gabriel Bercu
New Refinements for the Error Function with Applications in Diffusion Theory
Symmetry
error function
rational refinement
Padé approximant
bound
Fourier series
analytic inequalities
author_facet Gabriel Bercu
author_sort Gabriel Bercu
title New Refinements for the Error Function with Applications in Diffusion Theory
title_short New Refinements for the Error Function with Applications in Diffusion Theory
title_full New Refinements for the Error Function with Applications in Diffusion Theory
title_fullStr New Refinements for the Error Function with Applications in Diffusion Theory
title_full_unstemmed New Refinements for the Error Function with Applications in Diffusion Theory
title_sort new refinements for the error function with applications in diffusion theory
publisher MDPI AG
series Symmetry
issn 2073-8994
publishDate 2020-12-01
description In this paper we provide approximations for the error function using the Padé approximation method and the Fourier series method. These approximations have simple forms and acceptable bounds for the absolute error. Then we use them in diffusion theory.
topic error function
rational refinement
Padé approximant
bound
Fourier series
analytic inequalities
url https://www.mdpi.com/2073-8994/12/12/2017
work_keys_str_mv AT gabrielbercu newrefinementsfortheerrorfunctionwithapplicationsindiffusiontheory
_version_ 1724398224453664768

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