Results 41 to 50 of about 817,111 (369)

Validity of Galerkin Method at Beam’s Nonlinear Vibrations of the Single Mode with the Initial Curvature

open access: yesBuildings, 2023
A common strategy for studying the nonlinear vibrations of beams is to discretize the nonlinear partial differential equation into a nonlinear ordinary differential equation or equations through the Galerkin method.
Yunbo Zhang, Kun Huang, Wei Xu
doaj   +1 more source

Interpretation of Frenkel’s theory of sintering considering evolution of activated pores: II. Model and reliability [PDF]

open access: yesScience of Sintering, 2015
Frenkel's liquid-phase sintering mechanism has essential influence on the sintering of materials, however, by which only the initial 10% during isothermal sintering can be well explained. To overcome this shortage, Nikolić et al.
Yu C.L.   +5 more
doaj   +1 more source

Constructive factorization of LPDO in two variables

open access: yes, 2005
We study conditions under which a partial differential operator of arbitrary order $n$ in two variables or ordinary linear differential operator admits a factorization with a first-order factor on the left.
A. Loewy   +8 more
core   +1 more source

An Integro-Differential Equation of the Fractional Form: Cauchy Problem and Solution [PDF]

open access: yes, 2019
Producción CientíficaWe solve the Cauchy problem defined by the fractional partial differential equation [∂tt − κD]u = 0, with D the pseudo-differential Riesz operator of first order, and certain initial conditions.
AA Kilbas   +9 more
core   +3 more sources

New Iterative Method of Solving Nonlinear Equations in Fluid Mechanics

open access: yesInternational Journal of Applied Mechanics and Engineering, 2021
This paper presents the results of applying a new iterative method to linear and nonlinear fractional partial differential equations in fluid mechanics.
M. Paliivets   +4 more
doaj   +1 more source

The Z5 transformation for solving quasi-linear partial differential equations

open access: yesPartial Differential Equations in Applied Mathematics, 2023
The Z1-Z4 transformations proposed in our previous papers have acquired remarkable success in the field of linear partial differential equations, general solutions of a large number of typical equations were obtained for the first time, and exact ...
Hong Lai Zhu
doaj  

Structured populations with distributed recruitment: from PDE to delay formulation

open access: yes, 2016
In this work first we consider a physiologically structured population model with a distributed recruitment process. That is, our model allows newly recruited individuals to enter the population at all possible individual states, in principle.
Calsina, Àngel   +2 more
core   +1 more source

Radiating stars and Riccati equations in higher dimensions

open access: yesEuropean Physical Journal C: Particles and Fields, 2023
The objective of this study is to investigate spherically symmetric radiating stars undergoing gravitational collapse, in higher dimensional general relativity, inclusive of acceleration, expansion, shear, an electromagnetic field and a cosmological ...
Noeleen Naidoo   +2 more
doaj   +1 more source

Teaching Partial Differential Equations with CAS [PDF]

open access: yes, 2018
Partial Differential Equations (PDE) are one of the topics where Engineering students find more difficulties when facing Math subjects. A basic course in Partial Differential Equations (PDE) in Engineering, usually deals at least, with the following ...
Aguilera-Venegas, Gabriel   +5 more
core  

Numerical Solution of the Dynamic Programming Equation for the Optimal Control of Quantum Spin Systems [PDF]

open access: yes, 2010
The purpose of this paper is to describe the numerical solution of the Hamilton-Jacobi-Bellman (HJB) for an optimal control problem for quantum spin systems.
Azagra   +24 more
core   +1 more source

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