Results 161 to 170 of about 173,975,381 (346)

Learning Traveling Solitary Waves Using Separable Gaussian Neural Networks

Entropy
In this paper, we apply a machine-learning approach to learn traveling solitary waves across various physical systems that are described by families of partial differential equations (PDEs).
Siyuan Xing, Efstathios G. Charalampidis
doaj   +1 more source

Studies in Phase Space Analysis with Applications to PDEs

, 2013
This collection of original articles and surveys, emerging from a 2011 conference in Bertinoro, Italy, addresses recent advances in linear and nonlinear aspects of the theory of partial differential equations (PDEs).
D. Del Santo, F. Colombini, M. Cicognani
core  

Compact Local IRBF and Domain Decomposition Method for solving PDEs using a Distributed termination detection based parallel algorithm

, 2013
Compact Local Integrated Radial Basis Function (CLIRBF) methods based on Cartesian grids can be effective numerical methods for solving partial differential equations (PDEs) for fluid flow problems.
Hoang-Trieu, T.-T., Mai-Duy, N., C.-D. Tran, N. Mai-Duy, T. Tran-Cong, Pham-Sy, N., N. Pham-Sy, Tran-Cong, T., T.-T. Hoang-Trieu, Tran, C.-D.   +9 more
core   +1 more source

Unveiling New Perspectives on the Hirota–Maccari System With Multiplicative White Noise

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this study, we delve into the stochastic Hirota–Maccari system, which is subjected to multiplicative noise according to the Itô sense. The stochastic Hirota–Maccari system is significant for its ability to accurately model how stochastic affects nonlinear wave propagation, providing valuable insights into complex systems like fluid dynamics
Mohamed E. M. Alngar, Khaled A. Gepreel, Reham M. A. Shohib, Yakup Yildirim   +3 more
wiley   +1 more source

A survey on fractal fractional nonlinear Kawahara equation theoretical and computational analysis

Scientific Reports
With the use of the Caputo, Caputo-Fabrizio (CF), and Atangana-Baleanu-Caputo (ABC) fractal fractional differential operators, this study offers a theoretical and computational approach to solving the Kawahara problem by merging Laplace transform and ...
Laila A. Al-Essa, Mati ur Rahman
doaj   +1 more source

The Combined Effects of Variable Viscosity and Thermal Conductivity of An Unsteady Casson Fluid Flow Along a Vertical Porous Channel With Convective Cooling Walls, Using the Bivariate Spectral Local Linearization Method

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT This study examines the combined impact of different thermal conductivity and viscosity on unsteady non‐Newtonian Casson fluid flow of incompressible, electrical conductivity in a porous vertical channel with convective cooling walls, uniform magnetic field, and constant pressure gradient.
A. S. Adeyemo, Precious Sibanda, S. P. Goqo   +2 more
wiley   +1 more source

Spectral shifted Chebyshev collocation technique with residual power series algorithm for time fractional problems

Scientific Reports
In this paper, two problems involving nonlinear time fractional hyperbolic partial differential equations (PDEs) and time fractional pseudo hyperbolic PDEs with nonlocal conditions are presented.
Saad. Z. Rida, Anas. A. M. Arafa, Hussein. S. Hussein, Ismail G. Ameen, Marwa. M. M. Mostafa   +4 more
doaj   +1 more source

OPTIMIZING QUANTUM ALGORITHMS FOR SOLVING THE POISSON EQUATION

Scientific Journal of Astana IT University
Contemporary quantum computers open up novel possibilities for tackling intricate problems, encompassing quantum system modeling and solving partial differential equations (PDEs).
Aksultan Mukhanbet, Nurtugan Azatbekuly , Beimbet Daribayev   +2 more
doaj   +1 more source

Existence and Stability Analysis of Classical and Fractional‐Order Generalized Brusselator Reaction‐Diffusion System

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT The present work is devoted to establishing existence results and examining the stability properties of solutions associated with a generalized Brusselator reaction–diffusion system in both the classical and fractional‐order settings. The corresponding ODE and PDE formulations are considered to establish the global existence of solutions in ...
Fadia Haouam, Lamia Djebara, Salem Abdelmalek, Mokhtar Kirane   +3 more
wiley   +1 more source

Finite‐Difference Reduced Transfer Matrix Method for Multibody Systems With Rotating Beams

International Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT Multibody systems with rotating beams serve as critical simplified models of core components in engineering systems; however, existing analytical and numerical methods have limitations in analyzing their complex dynamic behavior. This paper proposes the Finite‐Difference Reduced Multibody System Transfer Matrix Method (FD‐RMSTMM), which ...
Ziyao Ma, Hanjing Lu, Caishan Liu, Xiaoting Rui   +3 more
wiley   +1 more source