Results 41 to 50 of about 1,249,069 (294)

A note on a singular coupled Burgers equation and double Laplace transform method [PDF]

, 2018
In this paper, modification of double Laplace decomposition method is proposed for the analytical approximation solution of a coupled system of Burgers equation with appropriate initial conditions.
Eltayeb, Hassan, Hassan Eltayeb, Said Mesloub, Kilicman, Adem, Mesloub, Said, Adem Kılıçman   +5 more
core   +1 more source

New Multiple Solution to the Boussinesq Equation and the Burgers-Like Equation

Journal of Applied Mathematics, 2013
By considering an improved tanh function method, we found some exact solutions of Boussinesq and Burgers-like equations. The main idea of this method is to take full advantage of the Riccati equation which has more new solutions.
Hasan Bulut, Münevver Tuz, Tolga Akturk
doaj   +1 more source

Influence of TiC and TiN Ceramic Reinforcements on the Microstructure, Thermal Expansion Behavior, and Tensile Properties of Invar 36 Manufactured by Laser Powder Bed Fusion

Advanced Engineering Materials, EarlyView.
This study examines Invar composites reinforced with titanium carbide (TiC) and titanium nitride (TiN) using laser powder bed fusion (LPBF). It presents the influence of reinforcements on microstructure, tensile properties, and thermal expansion. Results show that TiC effectively strengthens Invar while maintaining low thermal expansion, whereas TiN ...
Ayodeji Nathaniel Oyedeji, Natasha Sacks, Johannes Pötschke, Björn Matthey   +3 more
wiley   +1 more source

Discrete Symmetries Analysis and Exact Solutions of the Inviscid Burgers Equation

Discrete Dynamics in Nature and Society, 2012
We discuss the Lie point symmetries and discrete symmetries of the inviscid Burgers equation. By employing the Lie group method of infinitesimal transformations, symmetry reductions and similarity solutions of the governing equation are given.
Hongwei Yang, Yunlong Shi, Baoshu Yin, Huanhe Dong   +3 more
doaj   +1 more source

Cryogenic Deformation Behavior of TiAl and Insights Into Embrittlement After High‐Temperature Exposure Combined With Secondary Ion Mass Spectroscopy of Near Surface Chemistry

Advanced Engineering Materials, EarlyView.
Near‐surface deuterium enrichment profiles for different microstructural types of TiAl after exposure at 700 °C in a heavy water‐containing environment. The deuterium levels are significantly higher than expected from natural occurrence, indicating that the heavy water dissociated during the exposure treatment and entered the specimens.
Jonathan D. H. Paul, Alexander Welle, Dirk Matthiessen, Michael Oehring, Fritz Appel, Florian Pyczak   +5 more
wiley   +1 more source

The G′G-expansion method using modified Riemann–Liouville derivative for some space-time fractional differential equations

Ain Shams Engineering Journal, 2014
In this paper, the fractional partial differential equations are defined by modified Riemann–Liouville fractional derivative. With the help of fractional derivative and traveling wave transformation, these equations can be converted into the nonlinear ...
Ahmet Bekir, Özkan Güner
doaj   +1 more source

Ion‐Reconfigurable “N”‐Shaped Antiambipolar Behavior in Organic Electrochemical Transistors

Advanced Materials, EarlyView.
A unique N‐shaped negative differential transconductance (NDT) characteristics is demonstrated in single‐polymer organic electrochemical transistors through a sequential doping–redox–doping process driven by iodide ions. This redox‐driven mechanism enables low‐voltage, ion‐controlled reconfigurability and tunable current modulation, allowing seamless ...
Debdatta Panigrahi, Daniele Zucchelli, Zeinab Hamid, Christina Kousseff, Arup Sarkar, Aristea Pavlou, Zhitian Ling, Somayeh Kashani, Iain McCulloch, Paul W. M. Blom, Fabrizio Torricelli, Paschalis Gkoupidenis   +11 more
wiley   +1 more source

Meromorphic solutions of generalized inviscid Burgers’ equations and related PDES

Comptes Rendus. Mathématique, 2021
The purposes of this paper are twofold. The first one is to describe entire solutions of certain type of PDEs in $\mathbb{C}^n$ with the modified KdV-Burgers equation and modified Zakharov-Kuznetsov equation as the prototypes.
Lü, Feng
doaj   +1 more source

Atomistic Insights into Gradient Architecture Driven Strengthening in Additively Manufactured Cu–Ni Stepwise Graded Structures

Advanced Materials Interfaces, EarlyView.
Atomistic simulations reveal the interlayer mechanics of additively manufactured materials, showing how build direction and layer interfaces govern diffusion, defect evolution, and mechanical strength. Distinct anisotropic behavior arises from interface‐controlled deformation and dislocation activity, establishing critical links between microstructural
Rohit Singh, Jinoop Arackal Narayanan
wiley   +1 more source

Resolve the multitude of microscale interactions to holistically discretise the stochastically forced Burgers' partial differential equation [PDF]

, 2006
[Abstract]: Constructing discrete models of stochastic partial differential equations is very delicate. Here we use modern dynamical systems theory to derive spatial discretisations of the nonlinear advection-diffusion dynamics of the stochastically ...
Roberts, A. J.
core   +1 more source