Results 31 to 40 of about 105 (98)
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 +3 more
wiley +1 more source
Bifurcation for non linear ordinary differential equations with singular perturbation
Electronic Journal of Differential Equations, 2016 We study a family of singularly perturbed ODEs with one parameter and compare their solutions to the ones of the corresponding reduced equations. The interesting characteristic here is that the reduced equations have more than one solution for a ...
Safia Acher Spitalier, Rachid Bebbouchi
doaj
Resurgent aspects of applied exponential asymptotics
Studies in Applied Mathematics, Volume 152, Issue 3, Page 974-1025, April 2024.Abstract In many physical problems, it is important to capture exponentially small effects that lie beyond‐all‐orders of an algebraic asymptotic expansion; when collected, the full asymptotic expansion is known as a trans‐series. Applied exponential asymptotics has been enormously successful in developing practical tools for studying the leading ...
Samuel Crew, Philippe H. Trinh
wiley +1 more source
Smooth attractive invariant manifolds of singularly perturbed ODE's
, 1992 SAM Research Report, 1992 ...
openaire +2 more sources
Fitted Numerical Scheme for Singularly Perturbed Convection‐Diffusion Equation with Small Time Delay
International Journal of Mathematics and Mathematical Sciences, Volume 2024, Issue 1, 2024.In this article, a uniformly convergent numerical scheme is developed to solve a singularly perturbed convection‐diffusion equation with a small delay having a boundary layer along the left side. A priori bounds of continuous solution and its derivatives are discussed.
Sisay Ketema Tesfaye +4 more
wiley +1 more source
Singularly perturbed dynamics of the tippedisk. [PDF]
Proc Math Phys Eng Sci, 2021 Sailer S, Leine RI.
europepmc +1 more source
Sparse Random-Feature Neural Networks with Krylov-Based SVD for Singularly Perturbed ODE
Random-feature neural networks (RFNNs), including architectures with fixed hidden layers and analytically determined output weights, offer fast training but often suffer from issues due to dense representations of the hidden layer activation. Their reliance on dense feature mappings and least squares solvers can limit scalability and numerical ...
Vaidyan, Kevin Kurian Thomas +1 more
openaire +2 more sources
A stochastic numerical approach for a class of singular singularly perturbed system. [PDF]
PLoS One, 2022 Sabir Z +4 more
europepmc +1 more source
A geometric analysis of the SIRS epidemiological model on a homogeneous network. [PDF]
J Math Biol, 2021 Jardón-Kojakhmetov H +3 more
europepmc +1 more source
Adaptive Technique for Solving 1-D Interface Problems of Fractional Order. [PDF]
Int J Appl Comput Math, 2022 Al-Masaeed R, Maayah B, Abu-Ghurra S.
europepmc +1 more source