Results 81 to 90 of about 2,133 (160)

Extrapolation techniques for first order hyperbolic partial differential equations [PDF]

open access: yes, 1980
A uniform grid of step size h is superimposed on the space variable x in the first order hyperbolic partial differential equation ∂u/∂t + a ∂u/∂x = 0 (a > 0, x > 0, t > 0).
Twizell, E H
core  

The Resurgence of the Cusp Anomalous Dimension

open access: yes, 2015
This work addresses the resurgent properties of the cusp anomalous dimension's strong coupling expansion, obtained from the integral Beisert-Eden-Staudacher (BES) equation.
Aniceto, Inês
core   +1 more source

A Study of Solutions for Some Classes of PDEs Arising in Physics and Engineering Using Modified Reduced Differential Transform Method

open access: yesJournal of Applied Mathematics, Volume 2025, Issue 1, 2025.
This paper successfully employs a combined methodology that integrates the reduced differential transform approach, Laplace transform, and Padé approximants to solve diverse partial differential equations with real and complex variables. The proposed method, known as the modified reduced differential transform method (MRDTM), extends the interval of ...
Osama Alkhazaleh   +2 more
wiley   +1 more source

Modeling the Lithium Ion/Electrode Battery Interface Using Fick’s Second Law of Diffusion, the Laplace Transform, Charge Transfer Functions, and a [4, 4] Padé Approximant

open access: yesInternational Journal of Electrochemistry, 2015
This work investigates a one-dimensional model for the solid-state diffusion in a LiC6/LiMnO2 rechargeable cell. This cell is used in hybrid electric vehicles.
John H. Summerfield, Charles N. Curtis
doaj   +1 more source

Describing phase transitions in field theory by self-similar approximants

open access: yes, 2019
Self-similar approximation theory is shown to be a powerful tool for describing phase transitions in quantum field theory. Self-similar approximants present the extrapolation of asymptotic series in powers of small variables to the arbitrary values of ...
Yukalov, V. I., Yukalova, E. P.
core   +1 more source

Modeling the Nonlinear–To–Linear Relationship Between Bulk and Pore Water Electrical Conductivity in Saturated Porous Media Using a Padé Approximant

open access: yesWater Resources Research, Volume 60, Issue 12, December 2024.
Abstract A petrophysical model that accurately relates bulk electrical conductivity (σ) to pore fluid conductivity (σw) is critical to the interpretation of geophysical measurements. Classical models are either only applicable over a limited salinity regime or incorrectly explain the nonlinear‐to‐linear behavior of the σ(σw) relationship. In this study,
Yongwei Fu   +3 more
wiley   +1 more source

Finite — T topological susceptibility with heavy quarks

open access: yesJournal of High Energy Physics
Axion cosmology needs the QCD topological susceptibility between 400 and 1100 MeV. In this range the bottom quark is inconvenient to include in lattice simulations, but not heavy enough to ignore. We estimate its effect on the susceptibility by computing
Bruno Högl, Guy D. Moore
doaj   +1 more source

Robust parameter identification based on nature‐inspired optimization for accurate photovoltaic modelling under different operating conditions

open access: yesIET Renewable Power Generation, Volume 18, Issue 12, Page 1893-1925, 7 September 2024.
An enhanced intelligent optimization algorithm called OLARO is proposed to identify the parameter values of PV models effectively and accurately. Opposition‐based learning, Lévy flight, and roulette fitness‐distance balance are used to improve the convergence speed and robustness.
Zengxiang He   +4 more
wiley   +1 more source

Colebrook’s Flow Friction Explicit Approximations Based on Fixed-Point Iterative Cycles and Symbolic Regression

open access: yesComputation, 2019
The logarithmic Colebrook flow friction equation is implicitly given in respect to an unknown flow friction factor. Traditionally, an explicit approximation of the Colebrook equation requires evaluation of computationally demanding transcendental ...
Dejan Brkić, Pavel Praks
doaj   +1 more source

Explicit and implicit methods for second order ordinary differential equations [PDF]

open access: yes, 1980
A family of explicit formulas is developed for solving a system of second order linear ordinary differential equations with constant coefficients and with initial conditions specified.
Twizell, E H
core  

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