Results 41 to 50 of about 238,845 (376)

New solutions to a category of nonlinear PDEs

Frontiers in Physics
The nonlinear partial differential equations are not only used in many physical models, but also fundamentally applied in the field of nonlinear science. In order to solve certain nonlinear partial differential equation, the extended hyperbolic auxiliary
Bacui Li, Fuzhang Wang
doaj   +1 more source

Homogenization of periodic elliptic degenerate PDEs with non-linear Neumann boundary condition

Partial Differential Equations in Applied Mathematics, 2021
In this paper, a semi-linear elliptic partial differential equation (PDE) with non linear Neumann boundary condition and rapidly oscillating coefficients is homogenized.
Mohamed Marzougue, Ibrahima Sane
doaj   +1 more source

Enhancing Corrosion Resistance and Mechanical Strength of 3D‐Printed Iron Polylactic Acid for Marine Applications via Laser Surface Texturing

Advanced Engineering Materials, EarlyView.
Laser surface texturing significantly improves the corrosion resistance and mechanical strength of 3D‐printed iron polylactic acid (Ir‐PLA) for marine applications. Optimal laser parameters reduce corrosion by 80% and enhance tensile strength by 25% and ductility by 15%.
Mohammad Rezayat, Mojtaba Karamimoghadam, Mohammadreza Lalegani Dezaki, Ali Zolfagharian, Giuseppe Casalino, Antonio Mateo, Mahdi Bodaghi   +6 more
wiley   +1 more source

Explicit and exact travelling wave solutions for Hirota equation and computerized mechanization.

PLoS ONE
By using the power-exponential function method and the extended hyperbolic auxiliary equation method, we present the explicit solutions of the subsidiary elliptic-like equation.
Bacui Li, Fuzhang Wang, Sohail Nadeem
doaj   +1 more source

Residual Stress States in Microstructurally Graded PBF–LB/M Austenitic Steel Components

Advanced Engineering Materials, EarlyView.
This study examines microstructurally graded 316L rectangular tube profiles fabricated via PBF–LB/M using a dual‐laser system. A 1 kW top‐hat and a 400 W Gaussian laser create distinct grain sizes and crystallographic texture. Mechanical properties are linked to microstructural evolution driven by processing conditions.
Nico Möller, Florian Loebich, Thomas Wegener, Julia Richter, Jens Gibmeier, Thomas Niendorf   +5 more
wiley   +1 more source

Classification of Exact Solutions for Generalized Form of Equation

Abstract and Applied Analysis, 2013
The classification of exact solutions, including solitons and elliptic solutions, to the generalized equation by the complete discrimination system for polynomial method has been obtained.
Hasan Bulut
doaj   +1 more source

Numerical solution of a critical Sobolev exponent problem with weight on 𝕊3

Journal of Taibah University for Science, 2021
In this paper, we prove the existence of a positive solution for elliptic nonlinear partial differential equation with weight involving a critical exponent of Sobolev imbedding on $ \mathbb {S}^{3} $ .
Adel Almarashi, Idir Mechai, Ahmed Msmali, Habib Yazidi   +3 more
doaj   +1 more source

Massively parallel solvers for elliptic partial differential equations in numerical weather and climate prediction [PDF]

arXiv.org, 2013
The demand for substantial increases in the spatial resolution of global weather and climate prediction models makes it necessary to use numerically efficient and highly scalable algorithms to solve the equations of large‐scale atmospheric fluid dynamics.
E. Müller, Robert Scheichl
semanticscholar   +1 more source

Micromechanical Characterization of 316L‐V4E Steel Transitions Produced by Electron Beam Powder Bed Fusion with Dual‐Hopper Alternating Layer Strategy

Advanced Engineering Materials, EarlyView.
This work applies High‐Speed Nanoindentation to study multi‐material transitions in powder bed fusion–electron beam melting components. The aim is to assess the mechanical gradients and interfacial behavior between American iron and steel institute 316L stainless steel and V4E tool steel in additively manufactured structures.
Laia Ortiz‐Membrado, William Sjöström, Francesc Barberà Flichi, Carlos Botero, Anton S. Tremsin, Antonio Mateo, Emilio Jiménez‐Piqué   +6 more
wiley   +1 more source

The (G′/G)-expansion method for solving a nonlinear PDE describing the nonlinear low-pass electrical lines

Journal of Taibah University for Science, 2019
In this paper, we apply the (G′/G)-expansion method based on three auxiliary equations, namely, the generalized Riccati equation $ G^{\prime}(\xi ) = r + pG(\xi ) + q{G^2}(\xi ) $ , the Jacobi elliptic equation $ {({G^{\prime}(\xi )} )^2} = R + Q{G^2 ...
Ayad M. Shahoot, Khaled A. E. Alurrfi, Mohamed O. M. Elmrid, Ali M. Almsiri, Abdullah M. H. Arwiniya   +4 more
doaj   +1 more source