Asymptotic solutions for singularly perturbed Boussinesq equations
, 2012 We consider a family of singularly perturbed Boussinesq equations. We obtain a rational weak solution to the classical Boussinesq equation and demonstrate that this solution can be used to construct perturbation solutions for singularly perturbed high ...
Haussermann, John, Van Gorder, Robert A.
core +2 more sources
Singularly Perturbed Fractional Schrödinger Equations with Critical Growth
Advanced Nonlinear Studies, 2018 We are concerned with the following singularly perturbed fractional Schrödinger equation:
He Yi
doaj +1 more source
Orthogonal Polynomials with Singularly Perturbed Freud Weights. [PDF]
Entropy (Basel), 2023 Min C, Wang L.
europepmc +1 more source
Implicit extended discontinuous Galerkin scheme for solving singularly perturbed Burgers' equations
Mathematical Modelling and AnalysisWe present the implicit-modal discontinuous Galerkin scheme for solving the coupled viscous and singularly perturbed Burgers’ equations. This scheme overcomes overshoot and undershoots phenomena in the singularly perturbed Burgers’ equations. We present
Samaneh Khodayari-Samghabadi +2 more
doaj +1 more source
Solving singularly perturbed fredholm integro-differential equation using exact finite difference method. [PDF]
BMC Res Notes, 2023 Badeye SR, Woldaregay MM, Dinka TG.
europepmc +1 more source
, 2014 We consider singularly perturbed reaction-diffusion equations with singularly perturbed Neumann boundary conditions. We establish the existence of a time-periodic solution $u(x,t,\ve)$ with boundary layers and derive conditions for their asymptotic ...
Schneider, Klaus R. +3 more
core +1 more source
Singular perturbation boundary and interior layers problems with multiple turning points
Boundary Value ProblemsIn the study of singularly perturbed boundary problems with turning points, the solution undergoes sharp changes near these points and exhibits various interior phenomena.
Xinyu Wang, Na Wang
doaj +1 more source
Interaction of scales for a singularly perturbed degenerating nonlinear Robin problem. [PDF]
Philos Trans A Math Phys Eng Sci, 2022 Musolino P, Musolino P, Mishuris G.
europepmc +1 more source
A stochastic numerical approach for a class of singular singularly perturbed system. [PDF]
PLoS One, 2022 Sabir Z +4 more
europepmc +1 more source
On a Two Dimensional Reaction-Diffusion System with Hypercyclical Structure [PDF]
, 2000 We study a hypercyclical reaction-diffusion system which arises in the modeling of catalytic networks and describes the emerging of cluster states.
Winter, M, Wei, J
core +1 more source