Results 81 to 90 of about 1,076,413 (185)

A New Extended Padé Approximation and Its Application

Advances in Numerical Analysis, 2013
We extend ordinary Pade approximation, which is based on a set of standard polynomials as , to a new extended Pade approximation (Muntz Pade approximation), based on the general basic function set (the particular case of Muntz polynomials) using general ...
Z. K. Bojdi, S. Ahmadi-Asl, A. Aminataei
semanticscholar   +1 more source

Approximations for Fractional Derivatives and Fractional Integrals Using Padé Approximation

Journal of Applied Mathematics
This paper tackles the persistent challenge of slow convergence and numerical instability in the fractional calculus when applied to power series–representable functions fx=∑i=0∞cixi, limitations that compromise accuracy in scientific applications.
Ahmed M. Youssef, Tamer M. Rageh, Aisha F. Fareed, M. S. Abdelwahed   +3 more
doaj   +1 more source

Asymptotical analysis and Padé approximation in problems on diffusion-controlled cracks propagation

Revista de Matemática: Teoría y Aplicaciones, 2012
In this work, we consider the diffusion-controlled axisymmetric fracture in an infinite space, and half-space. An important example of diffusion-controlled fracture growth is given by hydrogen induced cracking.
Alla V. Balueva, Leonid N. Germanovich
doaj   +1 more source

On the Schrödinger equation for deep water waves using the Padé-Adomian decomposition method

Journal of Ocean Engineering and Science
In this paper, the Adomian decomposition method (ADM) is improved by the Padé approximation to solve the Schrödinger equation that arises in deep water or ocean.
Noufe H. Aljahdaly, Fatimah O. Al Zobidi
doaj   +1 more source

Some recurrence formulas for the Hermite polynomials and their squares

Open Mathematics, 2018
In this paper, by making use of the generating function methods and Padé approximation techniques, we establish some new recurrence formulas for the Hermite polynomials and their squares.
He Yuan, Yang Fengzao
doaj   +1 more source

Traveling wave solution by differential transformation method and reduced differential transformation method

Alexandria Engineering Journal, 2016
The present study further examines two recent semi-analytic methods, a reduced order of nonlinear differential transformation method (also called RDTM) and differential transformation method along with Pade approximation to discuss Jaulent–Miodek and ...
Hamed Faghanpour Ganji, Mohsen Jouya, Seyed Abbas Mirhosseini-Amiri, Davod Domiri Ganji   +3 more
doaj   +1 more source

A Convenient Adomian-Pade Technique for the Nonlinear Oscillator Equation

Abstract and Applied Analysis, 2014
Very recently, the convenient way to calculate the Adomian series was suggested. This paper combines this technique and the Pade approximation to develop some new iteration schemes.
Na Wei, Cheng-Xi Liu, Teng Hu, Fu-Cai You   +3 more
doaj   +1 more source

Optimization of interaction between human and techniques at the space vehicle

RUDN Journal of Engineering Research, 2010
The problem of control system synthesis with a human operator in a loop of control is considered. The optimal transfer function calculation method based on Pade approximation for the human operator is presented.
K A Pupkov, A D Ustyuzhanin
doaj  

Padé Approximation of a Stationary Single-Channel Ca²⁺ Nanodomain. [PDF]

Biophys J, 2016
Matveev V.
europepmc   +1 more source

Is Dark Energy Changing? Probing the Universe’s Expansion with Present and Future Astronomical Probes

The Astrophysical Journal
This study explores the possibility of a time-varying dark energy (DE) equation of state (EoS) deviating from −1. We employ a comprehensive data set of the usual astronomical probes (Type Ia supernovae, baryon acoustic oscillations, Big Bang ...
Mehdi Rezaei, Supriya Pan, Weiqiang Yang, David F. Mota   +3 more
doaj   +1 more source