Results 151 to 160 of about 24,624 (181)

Bifurcation of periodic solutions in PDE’s: Numerical techniques and applications

1990
The method of lines with different types of space discretization has been used for the study of the behaviour of solutions of two parabolic PDE’s with Brusselator reaction scheme in the form $$ \frac{{\partial x}}{{\partial t}} = \frac{{{D_x}}}{{{L^2}}}\frac{{{\partial ^2}x}}{{\partial {z^2}}} + {x^2}y - (B + 1)x + A $$ (1a) $$ \frac ...
M. Holodniok, M. Kubíček, M. Marek
openaire   +1 more source

Parallelized computation of quasi-periodic solutions for finite element problems: A Fourier series expansion-based shooting method

arXiv.org
High-dimensional nonlinear mechanical systems admit quasi-periodic solutions that are essential for the understanding of the dynamical systems. These quasi-periodic solutions stay on some invariant tori governed by complex PDEs in hyper-time.
Junqing Wu, Ling Hong, Mingwu Li, Jun Jiang   +3 more
semanticscholar   +1 more source

Representation and Stability Analysis of 1D PDEs with Periodic Boundary Conditions

arXiv.org
PDEs with periodic boundary conditions are frequently used to model processes in large spatial environments, assuming solutions to extend periodically beyond some bounded interval.
Declan S. Jagt, S. Chernyshenko, Matthew Peet   +2 more
semanticscholar   +1 more source

New Soliton Solutions to the Space-Time Fractional Boussinesq Equation Using a Reliable Method

International Journal of Analysis and Applications
Fractional partial Differential Equations (FPDEs) play an essential role in interpreting a broad variety of events in various scientific disciplines, including physics, engineering, biology, and economics.
Marwa M. Alzubaidi, M. Almatrafi
semanticscholar   +1 more source

New investigation on soliton solutions of two nonlinear PDEs in mathematical physics with a dynamical property: Bifurcation analysis

Open Physics
To comprehend nonlinear dynamics, one must have access to soliton solutions, which faithfully portray the actions of numerous physical systems and nonlinear equations.
Md Dulal Hossain, S. Boulaaras, Abdulkafi. M. Saeed, Hussain Gissy, Md Nur Hossain, M. Mamun Miah   +5 more
semanticscholar   +1 more source

Solving elliptic PDEs in unbounded domains

arXiv.org
An accurate approximation of solutions to elliptic problems in infinite domains is challenging from a computational point of view. This is due to the need to replace the infinite domain with a sufficiently large and bounded computational domain, and ...
Doghonay Arjmand, Filip Marttala
semanticscholar   +1 more source

Periodic solutions of Hamiltonian PDEs

2004
This paper surveys some recent results about periodic solutions for Hamiltonian PDEs, which involve the small denominators difficulty. We considers in particular periodic orbits for completely resonant nonlinear wave equations and "Birkhoff-Lewis'' orbits with applications to a semilinear beam equation and to the nonlinear Schrödinger equation.
openaire   +2 more sources

Blockchain-Empowered Space-Air-Ground Integrated Networks: Opportunities, Challenges, and Solutions

IEEE Communications Surveys and Tutorials, 2022
Yuntao Wang, Zhou, Jianbing Ni
exaly  

Ion Dissociation in Ionic Liquids and Ionic Liquid Solutions

Chemical Reviews, 2020
Joan F Brennecke
exaly  

Better solutions needed to reduce suicides among patients with cancer

Ca-A Cancer Journal for Clinicians, 2023
exaly