文章基本信息

标题：PSEM Approximations for Both Branches of Lambert Function with Applications
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作者：H. Vazquez-Leal ; H. Vazquez-Leal ; M. A. Sandoval-Hernandez 等
期刊名称：Discrete Dynamics in Nature and Society
印刷版ISSN：1026-0226
电子版ISSN：1607-887X
出版年度：2019
卷号：2019
DOI：10.1155/2019/8267951
出版社：Hindawi Publishing Corporation
摘要：Transcendental functions are a fundamental building block of science and engineering. Among them, a relatively new function denominated as Lambert 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.