Results 51 to 60 of about 2,433 (265)

Numerical treatment of singularly perturbed unsteady Burger-Huxley equation

Frontiers in Applied Mathematics and Statistics, 2023
This article deals with the numerical treatment of a singularly perturbed unsteady Burger-Huxley equation. The equation is linearized using the Newton-Raphson-Kantorovich approximation method.
Imiru Takele Daba, Gemechis File Duressa
doaj   +1 more source

Impulsive Linearly Implicit Euler Method for the SIR Epidemic Model with Pulse Vaccination Strategy

Axioms
In this paper, a new numerical scheme, which we call the impulsive linearly implicit Euler method, for the SIR epidemic model with pulse vaccination strategy is constructed based on the linearly implicit Euler method. The sufficient conditions for global
Gui-Lai Zhang, Zhi-Yong Zhu, Lei-Ke Chen, Song-Shu Liu   +3 more
doaj   +1 more source

Stochastic C-Stability and B-Consistency of Explicit and Implicit Euler-Type Schemes [PDF]

Journal of Scientific Computing, 2015
This paper is concerned with the numerical approximation of stochastic ordinary differential equations, which satisfy a global monotonicity condition. This condition includes several equations with super-linearly growing drift and diffusion coefficient functions such as the stochastic Ginzburg-Landau equation and the 3/2-volatility model from ...
Wolf-Jürgen Beyn, Elena Isaak, Raphael Kruse   +2 more
openaire   +4 more sources

Testing and Simulation of Multilayer Polyvinylidene Fluoride‐Based Piezoelectric Energy Harvester Devices

Advanced Materials Technologies, EarlyView.
The study considers the use of polymer/dielectric‐based multilayers piezoelectric Energy Harvesters (EH) to produce an output voltage and current, by exploiting the mechanical energy provided by human organs movements. In particular, the heart motion is considered from the kinematic viewpoint, and a multiphysics theoretical model is developed to assess
Hamdi Ezzin, Silvia Monchetti, Paolo Emilio Puddu, Luciano Teresi, Antonio DeSimone, Roberto Brighenti   +5 more
wiley   +1 more source

A-stable spectral deferred correction method for nonlinear Allen-Cahn model

Alexandria Engineering Journal
This paper presents a type of A-stable spectral deferred correction (SDC) method. The scheme is initiated by the first-order backward Euler method. We adopt the linear stabilization approach for the Allen-Cahn model to get the linear semi-implicit SDC ...
Lin Yao, Xindong Zhang
doaj   +1 more source

Numerical analysis of auto-catalytic glycolysis model

AIP Advances, 2019
The main purpose of this paper is to investigate the solution of general reaction–diffusion glycolysis system numerically. Glycolysis model demonstrates the positive solution as the unknown variables show concentration of chemical substances.
Nauman Ahmed, Tahira S. S., M. Imran, M. Rafiq, M. A. Rehman, M. Younis   +5 more
doaj   +1 more source

Numerical treatment for the solution of singularly perturbed pseudo-parabolic problem on an equidistributed grid

Nonlinear Engineering, 2020
The initial-boundary value problem for a pseudo-parabolic equation exhibiting initial layer is considered. For solving this problem numerically independence of the perturbation parameter, we propose a difference scheme which consists of the implicit ...
Mohapatra Jugal, Shakti Deepti
doaj   +1 more source

A Fitted Numerical Approach for Singularly Perturbed Two-Parameter Parabolic Problem with Time Delay

Computational and Mathematical Methods, 2023
This paper is aimed at constructing and analyzing a fitted approach for singularly perturbed time delay parabolic problems with two small parameters. The proposed computational scheme comprises the implicit Euler and especially finite difference method ...
Imiru Takele Daba, Wondwosen Gebeyaw Melesse, Guta Demisu Kebede   +2 more
doaj   +1 more source

Microscale Mapping of Fiber Strain and Damage in Composite Wrinkled Laminates Using Computed Tomography Assisted Wide‐Angle X‐Ray Scattering

Advanced Science, EarlyView.
This study combines full‐field tomography with diffraction mapping to quantify radial (ε002$\varepsilon _{002}$) and axial (ε100$\varepsilon _{100}$) lattice strain in wrinkled carbon‐fiber specimens for the first time. Radial microstrain gradients (−14.5 µεMPa$\varepsilon \mathrm{MPa}$−1) are found to signal damage‐prone zones ahead of failure, which ...
Hoang Minh Luong, James Trevarthen, Igor Dolbnya, Wadwan Singhapong, Nicholas Pilato, Richard Butler, Jiraphant Srisuriyachot, Alexander J. G. Lunt   +7 more
wiley   +1 more source

Convergence and stability of the exponential Euler method for semi-linear stochastic delay differential equations

Journal of Inequalities and Applications, 2017
The main purpose of this paper is to investigate the strong convergence and exponential stability in mean square of the exponential Euler method to semi-linear stochastic delay differential equations (SLSDDEs).
Ling Zhang
doaj   +1 more source