A Quasi-3D Polynomial Shear and Normal Deformation Theory for Laminated Composite, Sandwich, and Functionally Graded Beams [PDF]
Mechanics of Advanced Composite Structures, 2017 Bending analyses of isotropic, functionally graded, laminated composite, and sandwich beams are carried out using a quasi-3D polynomial shear and normal deformation theory.
Bharti Shinde, Atteshamuddin Sayyad
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Numerical approximation of the 3rd order pseudo-parabolic equation using collocation technique
Boundary Value ProblemsThis study presents a novel numerical approach for approximating the solution of third-order pseudo-parabolic partial differential equations (PDEs), which exhibit both parabolic and hyperbolic characteristics.
Neeraj Dhiman +4 more
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On a Fourth Order Parabolic Equation with Mixed Type Boundary Conditions in a Nonrectangular Domain
Moroccan Journal of Pure and Applied Analysis, 2015 This paper is devoted to the study of the following fourth order parabolic equation ∂tu + ∂x4u = f in the non-necessarily rectangular ...
Kheloufi Arezki
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An Innovative Parabolic Trough Collector Design with a Twin-Cavity Receiver
Applied Sciences, 2022 An innovative parabolic trough concentrator coupled to a twin cavity receiver (PTC-TC) in evacuated tube conditions is investigated thermally and optically.
Dimitrios N. Korres +3 more
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Life span of blow-up solutions for higher-order semilinear parabolic equations
Electronic Journal of Differential Equations, 2010 In this article, we study the higher-order semilinear parabolic equation $$displaylines{ u_t+(-Delta)^m u=|u|^p, quad (t,x)in mathbb{R}^1_+imes mathbb{R}^N,cr u(0,x)= u_0(x),quad xin mathbb{R}^N.
Fuqin Sun
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Parameter-uniform numerical treatment of singularly perturbed parabolic delay differential equations with nonlocal boundary conditions [PDF]
Iranian Journal of Numerical Analysis and OptimizationThis paper focuses on solving singularly perturbed parabolic equations of the convection-diffusion type with a large negative spatial shift and an integral boundary condition.
W.S. Hailu, G.F. Duressa
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Mathematical Approach for Mechanical Behaviour Analysis of FGM Plates on Elastic Foundation
Mathematics, 2022 This paper presents the flexural analysis of functionally graded plates resting on elastic foundations using new two-dimensional (2D) and quasi-three-dimensional (quasi-3D) higher order shear deformation theories.
Fatima Zohra Zaoui +7 more
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Asymptotic behavior of solutions of parabolic equations of higher order [PDF]
Pacific Journal of Mathematics, 1966 By use of a priori integral estimates like those used in the author and \textit{T. Kuroda} [Nagoya Math. J. 26, 115--120 (1966; Zbl 0143.33302)], it is proved that if a solution of a certain parabolic differential inequality satisfies Dirichlet conditions on the boundary of its domain, and if it decays in time with greater than exponential rapidity ...
openaire +3 more sources
, 2017 An important ingredient in numerical modelling of high temperature magnetised astrophysical plasmas is the anisotropic transport of heat along magnetic field lines from higher to lower temperatures.Magnetohydrodynamics (MHD) typically involves solving ...
Mignone, Andrea +4 more
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Mathematics, 2022 This paper presents for the first time a closed-form solution of the dynamic response of sigmoid bidirectional functionally graded (SBDFG) microbeams under moving harmonic load and thermal environmental conditions.
Mohamed A. Attia +3 more
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