Results 21 to 30 of about 58,761 (268)

Compare of analytic and numerical solution of parametric oscillator with perturbation and its analytical solution

MATEC Web of Conferences, 2019
In this paper we deal with an approximative analytical solution of a second order differential equation with a fast time periodic modulation. We use for this type of the equation a homotopy perturbation method. The validity of this approximative solution
Oršanský Pavol, Ftorek Branislav
doaj   +1 more source

Metric fluctuations in higher-dimensional black holes

Journal of High Energy Physics, 2023
We investigated the impact of metric fluctuations on the higher-dimensional black hole geometry. We generalized the four-dimensional model to higher dimensions to treat quantum vacuum fluctuations by the classical approach.
Hyewon Han, Bogeun Gwak
doaj   +1 more source

A New Approach to Approximate Solutions for Nonlinear Differential Equation

International Journal of Mathematics and Mathematical Sciences, 2018
The question discussed in this study concerns one of the most helpful approximation methods, namely, the expansion of a solution of a differential equation in a series in powers of a small parameter.
Safia Meftah
doaj   +1 more source

A Nonoscillatory Second-Order Time-Stepping Procedure for Reaction-Diffusion Equations

Complexity, 2020
After a theory of morphogenesis in chemical cells was introduced in the 1950s, much attention had been devoted to the numerical solution of reaction-diffusion (RD) partial differential equations (PDEs).
Philku Lee, George V. Popescu, Seongjai Kim   +2 more
doaj   +1 more source

Normal modes for two-dimensional gravitating kinks

Physics Letters B, 2022
We study small perturbations around an arbitrary static kink solution of a two-dimensional (2D) gravity-scalar system, where the gravity part is described by a subclass of 2D dilaton gravity theory, and the scalar matter field has generalized dynamics ...
Yuan Zhong
doaj   +1 more source

A finite differences MATLAB code for the numerical solution of second order singular perturbation problems

Journal of Computational and Applied Mathematics, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
AMODIO, Pierluigi, SETTANNI, GIUSEPPINA
openaire   +2 more sources

Interplay between circadian and other transcription factors—Implications for cycling transcriptome reprogramming

FEBS Letters, EarlyView.
This perspective highlights emerging insights into how the circadian transcription factor CLOCK:BMAL1 regulates chromatin architecture, cooperates with other transcription factors, and coordinates enhancer dynamics. We propose an updated framework for how circadian transcription factors operate within dynamic and multifactorial chromatin landscapes ...
Xinyu Y. Nie, Jerome S. Menet
wiley   +1 more source

The Asymptotic Expansion Method via Symbolic Computation

Journal of Applied Mathematics, 2012
This paper describes an algorithm for implementing a perturbation method based on an asymptotic expansion of the solution to a second-order differential equation. We also introduce a new symbolic computation system which works with the so-called modified
Juan F. Navarro
doaj   +1 more source

Time after time – circadian clocks through the lens of oscillator theory

FEBS Letters, EarlyView.
Oscillator theory bridges physics and circadian biology. Damped oscillators require external drivers, while limit cycles emerge from delayed feedback and nonlinearities. Coupling enables tissue‐level coherence, and entrainment aligns internal clocks with environmental cues.
Marta del Olmo, Carolin Ector, Hanspeter Herzel   +2 more
wiley   +1 more source

Nonpolynomial Spline for Numerical Solution of Singularly Perturbed Convection-Diffusion Equations with Discontinuous Source Term [PDF]

International Journal of Mathematical, Engineering and Management Sciences
This research addresses the numerical solution of singularly perturbed convection-diffusion kind boundary value problem of second-order with a discontinuity term.
Shilpkala T. Mane, Ram Kishun Lodhi
doaj   +1 more source