Results 51 to 60 of about 331,900 (322)

Solving Nonlinear Partial Differential Equations of Special Kinds of 3rd Order Using Balance Method and Its Models

open access: yesInternational Journal of Differential Equations, 2023
Most nonlinear partial differential equations have many applications in the physical world. Finding solutions to nonlinear partial differential equations is not easily solvable and hence different modified techniques are applied to get solutions to such ...
Daba Meshesha Gusu, Wakjira Gudeta
doaj   +1 more source

Attractors of Hamiltonian Nonlinear Partial Differential Equations

open access: yes, 2023
We survey the theory of attractors of nonlinear Hamiltonian partial differential equations since its appearance in 1990. These are results on global attraction to stationary states, to solitons and to stationary orbits, on adiabatic effective dynamics of solitons and their asymptotic stability. Results of numerical simulations are also given.
Comech, Andrew   +2 more
openaire   +3 more sources

Use of Complex Lie Symmetries for Linearization of Systems of Differential Equations - II: Partial Differential Equations

open access: yes, 2011
The linearization of complex ordinary differential equations is studied by extending Lie's criteria for linearizability to complex functions of complex variables.
A. Qadir   +37 more
core   +3 more sources

Characterization of Defect Distribution in an Additively Manufactured AlSi10Mg as a Function of Processing Parameters and Correlations with Extreme Value Statistics

open access: yesAdvanced Engineering Materials, EarlyView.
Predicting extreme defects in additive manufacturing remains a key challenge limiting its structural reliability. This study proposes a statistical framework that integrates Extreme Value Theory with advanced process indicators to explore defect–process relationships and improve the estimation of critical defect sizes. The approach provides a basis for
Muhammad Muteeb Butt   +8 more
wiley   +1 more source

Combination of inverse spectral transform method and method of characteristics: deformed Pohlmeyer equation

open access: yes, 2008
We apply a version of the dressing method to a system of four dimensional nonlinear Partial Differential Equations (PDEs), which contains both Pohlmeyer equation (i.e.
Bogdanov L V   +13 more
core   +2 more sources

On the Lightweight Potential of Laser Additive Manufactured NiTi Triply Periodic Minimal Sheet Lattices

open access: yesAdvanced Engineering Materials, EarlyView.
This study explores the lightweight potential of laser additive‐manufactured NiTi triply periodic minimal surface sheet lattices. It systematically investigates the effects of relative density and unit cell size on surface quality, deformation recovery, compression behavior, and energy absorption.
Haoming Mo   +3 more
wiley   +1 more source

A Procedure to Construct Exact Solutions of Nonlinear Fractional Differential Equations

open access: yesThe Scientific World Journal, 2014
We use the fractional transformation to convert the nonlinear partial fractional differential equations with the nonlinear ordinary differential equations.
Özkan Güner, Adem C. Cevikel
doaj   +1 more source

The Differential Counting Polynomial [PDF]

open access: yes, 2015
The aim of this paper is a quantitative analysis of the solution set of a system of polynomial nonlinear differential equations, both in the ordinary and partial case.
Lange-Hegermann, Markus
core  

Characterization of Nitinol Produced by Laser Powder Bed Fusion for Mechanical Metamaterial Applications

open access: yesAdvanced Engineering Materials, EarlyView.
Stabilization of L‐PBF Ni50.7Ti49.3 under low‐cycle loading was investigated. Recoverable strain after cycling was dependent on the amount of applied load. Recovery ratio was 53.4% and 35.1% at intermediate and high load, respectively. The maximum total strain reached 10.3% at a high load of 1200 MPa.
Ondřej Červinek   +5 more
wiley   +1 more source

Higher Order Compact Finite Difference Schemes for Unsteady Boundary Layer Flow Problems

open access: yesAdvances in Mathematical Physics, 2013
We investigate the applicability of the compact finite difference relaxation method (CFDRM) in solving unsteady boundary layer flow problems modelled by nonlinear partial differential equations.
P. G. Dlamini, S. S. Motsa, M. Khumalo
doaj   +1 more source

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