Results 91 to 100 of about 74,200 (309)

Unique positive solution for an alternative discrete Painlevé I equation [PDF]

open access: yes, 2016
We show that the alternative discrete Painleve I equation has a unique solution which remains positive for all n >0. Furthermore, we identify this positive solution in terms of a special solution of the second Painleve equation involving the Airy ...
Clarkson, Peter   +4 more
core   +1 more source

Notes on the Hermitian Positive Definite Solutions of a Matrix Equation

open access: yesJournal of Applied Mathematics, 2014
The nonlinear matrix equation, X-∑i=1mAi*XδiAi=Q, with -1 ...
Jing Li, Yuhai Zhang
doaj   +1 more source

Experimental Characterization and Constitutive Modeling of the Effect of Prior Inelastic Strain on the Viscoplastic Behavior of AD730 at 700 °C

open access: yesAdvanced Engineering Materials, EarlyView.
This study shows that superalloys used in aircraft engine disks become much more prone to deformation at high temperatures if they have been strained during manufacturing. This effect increases with the level of prior strain but eventually reaches a limit.
Fabio Machado Alves da Fonseca   +9 more
wiley   +1 more source

Linear systems and determinantal random point fields. [PDF]

open access: yes, 2008
Tracy and Widom showed that fundamentally important kernels in random matrix theory arise from systems of differential equations with rational coefficient.
Blower, Gordon
core   +1 more source

Numerical study of a class of variable order nonlinear fractional differential equation in terms of Bernstein polynomials

open access: yesAin Shams Engineering Journal, 2018
In this paper, we use Bernstein polynomials to seek the numerical solution of a class of nonlinear variable order fractional differential equation. The fractional derivative is described in the Caputo sense.
Yi-ming Chen   +3 more
doaj   +1 more source

On The Positive Definite Solutions Of Nonlinear Matrix Equation

open access: yes, 2013
In this paper, the nonlinear matrix equation is investigated. Based on the fixed-point theory, the boundary and the existence of the solution with the case r>-δi are discussed. An algorithm that avoids matrix inversion with the case -1<-δi<0 is proposed.
Baoguang, Tian   +2 more
openaire   +2 more sources

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

open access: yesAdvanced 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   +3 more
wiley   +1 more source

On the stability of a weighted finite difference scheme for wave equation with nonlocal boundary conditions [PDF]

open access: yes, 2014
We consider the stability of a weighted finite difference scheme for a linear hyperbolic equation with nonlocal integral boundary condition. By studying the spectrum of the transition matrix of the three-layered difference scheme we obtain a sufficient ...
Štikonas, Artūras, Novickij, Jurij
core   +2 more sources

NONLINEAR EQUATION WITH THE THIRD ORDER SCATTERING OPERATOR

open access: yesНаука. Инновации. Технологии, 2022
Introduction: most of the differential equations associated with soliton mathematics are obtained using the Lax operator equation or the zero-curvature equation, which are the compatibility condition for a pair of linear differential systems. The case in
Olga Sergeevna Yanovskaya   +1 more
doaj  

Application of Differential Equations in Enzyme Kinetics

open access: yesChemical Engineering Transactions, 2018
This paper discusses the application of simplified differential transformation method in the solution of nonlinear differential equations and the application of characteristic set method in the analysis of enzyme dynamic system.
Caihong Fan, Ping Li, Yingzhen Xue
doaj   +1 more source

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