Results 21 to 30 of about 101 (97)

A Multiparameter Singular Perturbation Analysis of the Robertson Model

Studies in Applied Mathematics, Volume 154, Issue 2, February 2025.
ABSTRACT The Robertson model describing a chemical reaction involving three reactants is one of the classical examples of stiffness in ODEs. The stiffness is caused by the occurrence of three reaction rates k1,k2,${k}_{1},{k}_{2},$ and k3,${k}_{3},$ with largely differing orders of magnitude, acting as parameters.
Lukas Baumgartner, Peter Szmolyan
wiley   +1 more source

Structure Preserving Nodal Continuous Finite Elements via Global Flux Quadrature

Numerical Methods for Partial Differential Equations, Volume 41, Issue 1, January 2025.
ABSTRACT Numerical methods for hyperbolic PDEs require stabilization. For linear acoustics, divergence‐free vector fields should remain stationary, but classical Finite Difference methods add incompatible diffusion that dramatically restricts the set of discrete stationary states of the numerical method. Compatible diffusion should vanish on stationary
Wasilij Barsukow, Mario Ricchiuto, Davide Torlo   +2 more
wiley   +1 more source

Asymptotic analysis of a coupled ODE‐PDE system arising from heterogeneous diffusion‐reaction kinetics

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 105, Issue 1, January 2025.
Abstract This contribution is concerned with the well‐posedness and homogenization of an ordinary differential equation (ODE) of Arrhenius‐type coupled with a doubly nonlinear parabolic partial differential equation (PDE) with rapidly oscillating coefficients and taking into account disparate diffusion‐reaction time scales, including regularly as well ...
Michal Beneš, Michael Eden, Adrian Muntean   +2 more
wiley   +1 more source

Progress and Application of Equivalent Models for Power System Simulation With Renewable Penetration: A Review

IET Smart Grid, Volume 8, Issue 1, January/December 2025.
Equivalent models, including surrogate models, reduced‐order models (ROMs) and hybrid models, have garnered considerable attention. This paper first summarises the challenges in DER‐based power system simulation. Then, we categorise equivalence modelling techniques along with their advantages while addressing simulation difficulties and accordingly ...
Ke Wang, Yang Cao, Wei Gu
wiley   +1 more source

Abstract Book for the 27th Congress of the European Hematology Association

, 2022
HemaSphere, Volume 6, Issue S3, Page 1-4130, June 2022.
wiley   +1 more source

Advancing numerical solutions for a system of singularly perturbed delay differential equations at linear rate

Boundary Value Problems
This work introduces a numerical technique designed to efficiently solve a specific type of differential equations known as a weakly coupled system of singularly perturbed delay differential equations.
Dany Joy, Dinesh Kumar S, Fathalla A Rihan   +2 more
doaj   +1 more source

Convergence and nonconvergence in a nonlocal gradient flow

Journal of the London Mathematical Society, Volume 111, Issue 1, January 2025.
Abstract We study the asymptotic convergence as t→∞$t\rightarrow \infty$ of solutions of ∂tu=−f(u)+∫f(u)$\partial _t u=-f(u)+\int f(u)$, a nonlocal differential equation that is formally a gradient flow in a constant‐mass subspace of L2$L^2$ arising from simplified models of phase transitions. In case the solution takes finitely many values, we provide
Sangmin Park, Robert L. Pego
wiley   +1 more source

Smooth attractive invariant manifolds of singularly perturbed ODE's

, 1992
SAM Research Report, 1992 ...
openaire   +2 more sources

A Robust Exponentially Fitted Scheme for Singularly Perturbed Fractional‐Order Delay Parabolic Equation

Advances in Mathematical Physics, Volume 2025, Issue 1, 2025.
This study introduces a fitted numerical approach for solving singularly perturbed time‐fractional parabolic differential equations incorporating a delay term. The stability of the method is rigorously examined using the comparison principle and solution bounds, while its convergence is analyzed through the barrier function approach and the Peano ...
Nuru Ahmed Endrie, Gemechis File Duressa, Mohammad Mirzazadeh   +2 more
wiley   +1 more source

Hybrid Fitted Mesh Strategy for Singularly Perturbed Time‐Dependent Convection‐Diffusion Problems Featuring Boundary Turning Points

International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.
This work investigates the solution of convection‐diffusion parabolic partial‐differential problems with boundary turning points that are singularly perturbed. These types of problems are stiff for the following reason: the small parameter multiplying coefficient of the diffusion term and the presence of boundary turning points.
Yimesgen Mehari Kebede, Awoke Andargie Tiruneh, Endalew Getnet Tsega, Mohamed A. Eltaher   +3 more
wiley   +1 more source