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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
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Interpretation of Frenkel’s theory of sintering considering evolution of activated pores: II. Model and reliability [PDF]
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
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Constructive factorization of LPDO in two variables
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
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An Integro-Differential Equation of the Fractional Form: Cauchy Problem and Solution [PDF]
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
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New Iterative Method of Solving Nonlinear Equations in Fluid Mechanics
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
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The Z5 transformation for solving quasi-linear partial differential equations
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
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Structured populations with distributed recruitment: from PDE to delay formulation
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
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Radiating stars and Riccati equations in higher dimensions
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
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Teaching Partial Differential Equations with CAS [PDF]
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
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Numerical Solution of the Dynamic Programming Equation for the Optimal Control of Quantum Spin Systems [PDF]
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
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