New Refinements and Improvements of Some Trigonometric Inequalities Based on Padé Approximant
Journal of Mathematics, 2020 A multiple-point Padé approximant method is presented for approximating and bounding some trigonometric functions in this paper. We give new refinements and improvements of some trigonometric inequalities including Jordan’s inequality, Kober’s inequality,
Lina Zhang, Xuesi Ma
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One-log call iterative solution of the Colebrook equation for flow friction based on Pade polynomials [PDF]
, 2018 The 80 year-old empirical Colebrook function zeta, widely used as an informal standard for hydraulic resistance, relates implicitly the unknown flow friction factor lambda, with the known Reynolds number Re and the known relative roughness of a pipe ...
Brkić, Dejan, Praks, Pavel
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Electromagnetic scattering beyond the weak regime: Solving the problem of divergent Born perturbation series by Padé approximants [PDF]
EPJ Web of Conferences, 2020 Electromagnetic scattering is the main phenomenon behind all optical measurement methods where one aims to retrieve the shape or physical properties of an unknown object by measuring how it scatters an incident optical field.
van der Sijs Thomas +2 more
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ITM Web of Conferences, 2017 This study is to examine the steady two dimensional laminar flow of a viscous incompressible electrically conducting fluid over a continuous surface. In this study DTM-Padé method is used to solve which is a combination of differential transform method ...
Çilingir Süngü İnci
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Free Convection Flow and Heat Transfer of Nanofluids of Different Shapes of Nano-Sized Particles over a Vertical Plate at Low and High Prandtl Numbers [PDF]
Journal of Applied and Computational Mechanics, 2019 In this paper, free convection flow and heat transfer of nanofluids of differently-shaped nano-sized particles over a vertical plate at very low and high Prandtl numbers are analyzed.
Gbeminiyi Sobamowo
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Multistep High-Order Methods for Nonlinear Equations Using Padé-Like Approximants
Discrete Dynamics in Nature and Society, 2017 We present new high-order optimal iterative methods for solving a nonlinear equation, f(x)=0, by using Padé-like approximants. We compose optimal methods of order 4 with Newton’s step and substitute the derivative by using an appropriate rational ...
Alicia Cordero +3 more
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One step multiderivative methods for first order ordinary differential equations [PDF]
, 1981 A family of one-step multiderivative methods based on Padé approximants to the exponential function is developed. The methods are extrapolated and analysed for use in PECE mode.
A. Q. M. Khaliq +10 more
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Journal of Applied Mathematics, 2013 Some examples of application of Padé approximant techniques to approximate the integrals in question and comparison with previous results, essentially the recent Panayi-Schock and Green-wood results, show the efficiency of this simple natural ...
Radosław Jedynak, Jacek Gilewicz
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Padé approximant related to remarkable inequalities involving trigonometric functions
Journal of Inequalities and Applications, 2016 In this paper we, respectively, give simple proofs of some remarkable trigonometric inequalities, based on the Padé approximation method. We also obtain rational refinements of these inequalities.
Gabriel Bercu
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On the Study of Oscillating Viscous Flows by Using the Adomian-Padé Approximation
Journal of Applied Mathematics, 2015 The Adomian-Padé technique is applied to examine two oscillating viscous flows, the Stokes’ second problem and the pressure-driven pulsating flow. Main purposes for studying oscillating flows are not only to verify the accuracy of the approximation ...
Chi-Min Liu
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