Results 101 to 110 of about 27,310 (315)

Travelling wave solutions of nonlinear evolution equations by using the first integral method [PDF]

, 2009
WOS: 000264296000004In this paper, we established travelling wave Solutions for some (2 + 1)-dimensional nonlinear evolution equations. The first integral method was used to construct travelling wave solutions of nonlinear evolution equations.
Koparan, Murat, Bekir, Ahmet, Tascan, Filiz   +2 more
core   +1 more source

Solution of the Nonlinear Mixed Volterra-Fredholm Integral Equations by Hybrid of Block-Pulse Functions and Bernoulli Polynomials

The Scientific World Journal, 2014
A new numerical method for solving the nonlinear mixed Volterra-Fredholm integral equations is presented. This method is based upon hybrid functions approximation.
S. Mashayekhi, M. Razzaghi, O. Tripak
doaj   +1 more source

From Shear to Sound: Mechanics–Acoustics Mapping of TPMS Lattices

Advanced Engineering Materials, EarlyView.
Triply periodic minimal surface (TPMS) lattices are mapped across mechanical and acoustic performance, revealing that descriptors validated in compression fail under shear. First‐time comparison with trusses included. A transition from porous to resonance‐driven absorption emerges at 25% density.
Lucía Doyle, María Ángeles Navacerrada, Johan Christensen, Carlos González   +3 more
wiley   +1 more source

Nonnegative solutions of nonlinear integral equations [PDF]

, 1995
summary:Existence results of nonnegative solutions of asymptotically linear, nonlinear integral equations are ...
Fečkan, Michal
core  

The application of an inverse-free Jarratt-type approximation to nonlinear integral equations of Hammerstein-type [PDF]

, 1998
We consider an inverse-free Jarratt-type approximation, whose order of convergence is four, for solving nonlinear equations. The convergence of this method is analysed under two different types of conditions.
Salanova, M.A., Gutiérrez, J.M., Ezquerro, J.A., Ezquerro, J.A. [0000-0001-8120-167X], Gutiérrez, J.M. [0000-0002-0434-7250], Hernández, M.A. [0000-0001-5478-2958], Hernández, M.A.   +6 more
core   +1 more source

Learning nonlinear integral operators via recurrent neural networks and its application in solving integro-differential equations

Machine Learning with Applications
In this paper, we propose using LSTM-RNNs (Long Short-Term Memory-Recurrent Neural Networks) to learn and represent nonlinear integral operators that appear in nonlinear integro-differential equations (IDEs).
Hardeep Bassi, Yuanran Zhu, Senwei Liang, Jia Yin, Cian C. Reeves, Vojtěch Vlček, Chao Yang   +6 more
doaj   +1 more source

Influence of Geometric Design on Mechanical Performance of Auxetic Metastructure

Advanced Engineering Materials, EarlyView.
Strategic geometric reinforcement transforms auxetic performance. This study evaluates 3D‐printed arrowhead metastructures, revealing that a modified design with local ring reinforcement suppresses premature failure to achieve superior energy absorption and structural efficiency.
Muhammad Gulzari, Supharoek Sornsomrit, Muhammad Ayaz Akbar, Stephan Rudykh   +3 more
wiley   +1 more source

Inverse Identification of Energy‐Dependent Laser Absorptivity in NiTi Laser Powder‐Bed Fusion via Calibrated Melt Pool Simulation

Advanced Engineering Materials, EarlyView.
A combined experimental–computational framework identifies energy‐dependent laser absorptivity for NiTi in laser powder‐bed fusion, applicable to conduction and transition modes. Single‐track experiments and thermofluid smoothed particle hydrodynamics simulations are coupled through inverse analysis of melt pool geometry.
Mohamadreza Afrasiabi, Hadi Moutablaleh, Ignatius A. Setiawan, Mehrshad Mehrpouya   +3 more
wiley   +1 more source

Direct localized boundary-domain integro-differential formulations for physically nonlinear elasticity of inhomogeneous body

, 2005
A static mixed boundary value problem (BVP) of physically nonlinear elasticity for a continuously inhomogeneous body is considered. Using the two-operator Green-Betti formula and the fundamental solution of an auxiliary linear operator, a non-standard ...
Mikhailov, SE
core  

Nonlinear analysis and control of chemical reactors [PDF]

, 1997
This thesis carries out a detailed study of a nonlinear spectral theory that is useful for modeling and controlling chemical reactors. The motivation for this work originates from a few reports which have demonstrated in the past that the nonlinear ...
Samardzjia, Nikola
core