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:
Online Access:https://www.mdpi.com/2073-8994/12/12/2017
Description
Summary: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.
ISSN:2073-8994