PSEM Approximations for Both Branches of Lambert W Function with Applications
Joint Authors
Herrera-May, Agustín
Sandoval-Hernandez, M. A.
Garcia-Gervacio, J. L.
Filobello-Niño, Uriel
Vazquez-Leal, Hector
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-03-03
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
Transcendental functions are a fundamental building block of science and engineering.
Among them, a relatively new function denominated as Lambert W is highlighted.
The importance of such function relies on the fact that it can perform novel isolation of variables.
In this work, we propose two accurate piece-wise approximate solutions, one for the lower branch and another one for the upper branch, respectively.
The proposed analytic approximations are obtained by using the power series extender method (PSEM) in combination with asymptotic solutions.
In addition, we will compare some published approximations with our proposal, highlighting our advantages in terms of significant digits and speed of evaluation.
Furthermore, the approximations are validated by the successful simulation of a problem of economy and other acoustic waves of nonlinear ions.
American Psychological Association (APA)
Vazquez-Leal, Hector& Sandoval-Hernandez, M. A.& Garcia-Gervacio, J. L.& Herrera-May, Agustín& Filobello-Niño, Uriel. 2019. PSEM Approximations for Both Branches of Lambert W Function with Applications. Discrete Dynamics in Nature and Society،Vol. 2019, no. 2019, pp.1-15.
https://search.emarefa.net/detail/BIM-1146581
Modern Language Association (MLA)
Vazquez-Leal, Hector…[et al.]. PSEM Approximations for Both Branches of Lambert W Function with Applications. Discrete Dynamics in Nature and Society No. 2019 (2019), pp.1-15.
https://search.emarefa.net/detail/BIM-1146581
American Medical Association (AMA)
Vazquez-Leal, Hector& Sandoval-Hernandez, M. A.& Garcia-Gervacio, J. L.& Herrera-May, Agustín& Filobello-Niño, Uriel. PSEM Approximations for Both Branches of Lambert W Function with Applications. Discrete Dynamics in Nature and Society. 2019. Vol. 2019, no. 2019, pp.1-15.
https://search.emarefa.net/detail/BIM-1146581
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1146581