Use of pade aproximation for e-z to approximate an integral of a Bessel function by Yudell Luke

“…We desire approximations to evaluate functions and their zeros, to simplify transforms and their inverses, and to facilitate the direct solution of various functional Equations, In this paper, we illustrate our ideas by using Padé approximations for the exponential function to evaluate integral involving the Bessel function I0(z) …”
Get full text

On the analysis of fractional diabetes model with exponential law by Jagdev Singh, Devendra Kumar, Dumitru Baleanu

“…The analytical solution of the diabetes model is derived by exerting the homotopy analysis method, the Laplace transform and the Padé approximation. Moreover, existence and uniqueness of the solution are examined by making use of fixed point theory and the Picard–Lindelof approach. …”
Get full text

A Fast Frequency Sweep – Green’s Function Based Analysis of Substrate Integrated Waveguide by E. Abaei, G. Amendola, E. Arnieri, S. Costanzo, E. Mehrshahi

“…The well-known Asymptotic Waveform Evaluation technique is used to extract the Padè approximation of the frequency response of Substrate Integrated Waveguides devices. …”
Get full text

Axisymmetric Longitudinal-Bending Waves in a Cylindrical Shell Interacting with a Nonlinear Elastic Medium by Alexander I. Zemlyanukhin, Andrey V. Bochkarev, Lev I. Mogilevich, Ekaterina G. Tindova

“…A modified perturbation method based on the use of diagonal Pade approximants was applied to build exact solitary-wave solutions of the derived equation in the form of traveling front and the traveling pulse. …”
Get full text

The VIM-Padé technique for strongly nonlinear oscillators with cubic and harmonic restoring force by Junfeng Lu, Li Ma

“…In this paper, we propose an analytical approach (VIM-Padé) based on the variational iteration method (VIM), Laplace transformation and the Padé approximation. We apply this technique to solve the strongly nonlinear oscillators with cubic and harmonic restoring force. …”
Get full text

Spectral Problems for Quasinormal Modes of Black Holes by Yasuyuki Hatsuda, Masashi Kimura

“…The article includes analytical/numerical treatments, semiclassical perturbation theory, the (uniform) WKB method and useful mathematical tools: Borel summations, Padé approximants, and so forth. The article is not comprehensive, but rather looks into a few examples from various points of view. …”
Get full text

Development of analytical solution for a generalized Ambartsumian equation by Ebrahem A. Algehyne, Essam R. El-Zahar, Fahad M. Alharbi, Abdelhalim Ebaid

“…It is found that the residuals tend to zero in specific sub-domains. The diagonal Pade approximants are implemented to extend the domain of converge to include the whole domain.…”
Get full text

Combining Laplace transform and Variational iteration method for solving singular IVPs and BVPs of Lane–Emden type equation by Mohamed H. Jassim, Waleed Mohammed Al-Hayani

“…Initially, this method requires calculating the lagrange multiplayer, and after its value was calculated, it was found to be equal , this method is applying on several problems and the results were improved using Padé approximations, the results were compared with the exact solution by calculating the absolute error value between them. …”
Get full text

Light Scattering by a Dielectric Sphere: Perspectives on the Mie Resonances by Dimitrios Tzarouchis, Ari Sihvola

“…For this type of resonances, the Mie–Padé approximation reveals the main character of the two different cases of resonances of either magnetic or electric origin. …”
Get full text

Algorithms for trigonometric polynomial and rational approximation by Javed, M

“…We present a numerical algorithm with examples and compute various type (<em>m, n</em>) trigonometric Padé approximants. </p>…”

Scalar isoscalar form factors for energies above 1 GeV by Ropertz Stefan, Hanhart Christoph, Kubis Bastian

“…From the amplitude fixed in a fit to the experimental data pole positions and residues are extracted via Padé approximants.…”
Get full text

gg → Z Z: analytic two-loop results for the low- and high-energy regions by Joshua Davies, Go Mishima, Matthias Steinhauser, David Wellmann

“…Analytic results for all 20 form factors are presented including expansion terms up to 1 / m t 12 $$ 1/{m}_t^{12} $$ and m t 32 $$ {m}_t^{32} $$ . We use a Padé approximation procedure to extend the radius of convergence of the high-energy expansion and apply this approach to the finite virtual next-to-leading order corrections.…”
Get full text

Quasinormal modes and greybody factors of the novel four dimensional Gauss–Bonnet black holes in asymptotically de Sitter space time: scalar, electromagnetic and Dirac perturbation... by Saraswati Devi, Rittick Roy, Sayan Chakrabarti

“…Abstract We find the low lying quasinormal mode frequencies of the recently proposed novel four dimensional Gauss–Bonnet de Sitter black holes for scalar, electromagnetic and Dirac field perturbations using the third order WKB approximation as well as Padé approximation, as an improvement over WKB. We figure out the effect of the Gauss–Bonnet coupling $$\alpha $$ α and the cosmological constant $$\Lambda $$ Λ on the real and imaginary parts of the QNM frequencies. …”
Get full text

Design of Low-Voltage FO-[PD] Controller for Motion Systems by Rafailia Malatesta, Stavroula Kapoulea, Costas Psychalinos, Ahmed S. Elwakil

“…This is achieved using Padé approximation, and the resulting integer-order transfer function is implemented using operational transconductance amplifiers as active elements. …”
Get full text

A continued fraction resummation form of bath relaxation effect in the spin-boson model by Gong, Zhihao, Tang, Zhoufei, Mukamel, Shaul, Cao, Jianshu, Wu, Jianlan

“…With higher-order correction terms systematically extracted from higher-order rate kernels, the resummed quantum kinetic expansion approach in the continued fraction form extends the Pade approximation and can fully recover the exact quantum dynamics as the expansion order increases.…”
Get full text
Get full text

A semi analytic iterative method for solving two forms of blasius equation / Mat Salim Selamat, Nurul Atkah Halmi and Nur Azyyati Ayob by Selamat, Mat Salim, Halmi, Nurul Atkah, Ayob, Nur Azyyati

“…In this scheme, the first solution which is in a form of convergent series solution is combined with Padé approximants to handle the boundary condition at infinity. …”
Get full text

A Review: Differential Transform Method for Semi-Analytical Solution of Differential Equations by M.M. Rashidi, F. Rabiei, S. Naseri Nia, S. Abbasbandy

“…First, basic definitions and formulas of DTM and Differential Transform-Padé approximation (DTM-Padé), which are used to increase the convergence and accuracy of DTM approximations, are discussed. …”
Get full text

Analytical Study of Nonlinear Fractional-Order Integrodifferential Equation: Revisit Volterra's Population Model by Najeeb Alam Khan, Amir Mahmood, Nadeem Alam Khan, Asmat Ara

“…This paper suggests two component homotopy method to solve nonlinear fractional integrodifferential equations, namely, Volterra's population model. Padé approximation was effectively used in this method to capture the essential behavior of solutions for the mathematical model of accumulated effect of toxins on a population living in a closed system. …”
Get full text

Modeling of diatomic predissociation resonances within the Optimizer project by Vladimir B. Sovkov, Jizhou Wu, Jie Ma, Feng Xie, A.M. Lyyra, Ergin Ahmed

“…The simulation of the predissociation spectrum of the Na2 23Πg∼33Πg←b3Πu (v=14,J=14) transition, observed earlier with the Perturbation Facilitated Optical–Optical Double Resonance (PFOODR) experimental method, is done within the Optimizer project with our Split-operator computational package using Padé approximations for all functions involved in the model. …”
Get full text

A class of fourth-order Padé schemes for fractional exotic options pricing model by Ming-Kai Wang, Cheng Wang, Jun-Feng Yin

“…In order to reduce the oscillations of the numerical solution of fractional exotic options pricing model, a class of numerical schemes are developed and well studied in this paper which are based on the 4th-order Padé approximation and 2nd-order weighted and shifted Grünwald difference scheme. …”
Get full text