Journal
APPLIED MATHEMATICAL MODELLING
Volume 104, Issue -, Pages 114-121Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.apm.2021.11.024
Keywords
Lambert W function; Pad? approximation; Root; Schr?der?s iteration; Transcendental equation
Funding
- National Natural Science Foundation of China [11672118]
- Research and Development Plans in Key Areas of Guangdong, China [2019B090917002]
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The Lambert W function, which is a multivalued inverse function, has various applications. A new method based on Pade approximation and Schroder's iteration is proposed to construct a high-precision analytical approximation for the two branches of the W function. This method can also be extended to solve other transcendental equations in science and engineering.
The Lambert W function is defined as the multivalued inverse of the function w -> we(w). It has a wide range of applications. We propose a new method to construct a high-precision analytical approximation of the two branches of W . The method is based on Pade approx-imation and Schroder's iteration. This method can also be extended to solve other tran-scendental equations in science and engineering. (c) 2021 Elsevier Inc. All rights reserved.
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