New Approach for Calculate Exponential Integral Function

Authors

  • L. N. M. Tawfiq Department of Mathematics, College of Education for Pure Science Ibn Al-Haitham, University of Baghdad, Baghdad, Iraq https://orcid.org/0000-0001-5778-4983
  • A. H. Khamas Department of Clinical Laboratory Sciences, College of Pharmacy, Mustansiriyah University, Baghdad, Iraq

DOI:

https://doi.org/10.24996/ijs.2023.64.8.27

Keywords:

Theis well function, Exponential integral, Chebyshev approximation, Rational approximation

Abstract

     This manuscript presents a new approach to accurately calculating exponential integral function that arises in many applications such as contamination, groundwater flow, hydrological problems and mathematical physics. The calculation is obtained with easily computed components without any restrictive assumptions

     A detailed comparison of the execution times is performed. The calculated results by the suggested approach are better and faster accuracy convergence than those calculated by other methods. Error analysis of the calculations is studied using the absolute error and high convergence is achieved. The suggested approach out-performs all previous methods  used to calculate this function and this decision is based on the getting results.

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Published

2023-08-30

Issue

Section

Mathematics

How to Cite

New Approach for Calculate Exponential Integral Function. (2023). Iraqi Journal of Science, 64(8), 4034-4042. https://doi.org/10.24996/ijs.2023.64.8.27
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