Differential quadrature method for space-fractional diffusion equations on 2D irregular domains
Sign Up to like & getrecommendations! Published in 2017 at "Numerical Algorithms"
DOI: 10.1007/s11075-017-0464-0
Abstract: In mathematical physics, the space-fractional diffusion equations are of particular interest in the studies of physical phenomena modelled by Lévy processes, which are sometimes called super-diffusion equations. In this article, we develop the differential quadrature… read more here.
Keywords: fractional diffusion; diffusion; space fractional; diffusion equations ... See more keywords
Polynomial Based Differential Quadrature Methods for the Numerical Solution of Fisher and Extended Fisher–Kolmogorov Equations
Sign Up to like & getrecommendations! Published in 2017 at "International Journal of Applied and Computational Mathematics"
DOI: 10.1007/s40819-017-0376-7
Abstract: In this paper, polynomial based differential quadrature method is employed to construct the framework of three numerical schemes for reaction–diffusion problems. Finite difference methods are also used in conjunction with differential quadrature in two of… read more here.
Keywords: extended fisher; quadrature; differential quadrature; polynomial based ... See more keywords
Three-dimensional vibration analysis of arbitrary angle-ply laminated cylindrical shells using differential quadrature method
Sign Up to like & getrecommendations! Published in 2019 at "Applied Acoustics"
DOI: 10.1016/j.apacoust.2018.11.031
Abstract: Abstract On the basis of three-dimensional elasticity theory, semi-analytical solutions that combine the state space technique (SST) and differential quadrature method (DQM) were developed for the free vibration of arbitrary angle-ply laminated cylindrical shells with… read more here.
Keywords: arbitrary angle; vibration; cylindrical shells; three dimensional ... See more keywords
Application of transformed differential quadrature to free vibration analysis of FG-CNTRC quadrilateral spherical panel with piezoelectric layers
Sign Up to like & getrecommendations! Published in 2018 at "Computer Methods in Applied Mechanics and Engineering"
DOI: 10.1016/j.cma.2018.02.022
Abstract: Abstract In this work, a framework based on the differential quadrature (DQ) method for the free vibration analysis of functionally graded carbon nanotube reinforced composite (FG-CNTRC) quadrilateral spherical panels with surface-bonded piezoelectric layers is developed.… read more here.
Keywords: vibration analysis; cntrc quadrilateral; differential quadrature; free vibration ... See more keywords
A mixed inverse differential quadrature method for static analysis of constant- and variable-stiffness laminated beams based on Hellinger-Reissner mixed variational formulation
Sign Up to like & getrecommendations! Published in 2021 at "International Journal of Solids and Structures"
DOI: 10.1016/j.ijsolstr.2020.11.019
Abstract: Abstract Increasing applications of laminated composite structures necessitate the development of equivalent single layer (ESL) models that can achieve similar accuracy but are more computationally efficient than 3D or layer-wise models. Most ESL displacement-based models… read more here.
Keywords: hellinger reissner; differential quadrature; quadrature method; laminated beams ... See more keywords
A high-order generalized differential quadrature method with lattice Boltzmann flux solver for simulating incompressible flows
Sign Up to like & getrecommendations! Published in 2023 at "Physics of Fluids"
DOI: 10.1063/5.0146130
Abstract: This paper presents a high-order generalized differential quadrature method with lattice Boltzmann flux solver (LBFS-GDQ) for simulating incompressible isothermal flows. In this method, high-order polynomials are adopted to approximate both the solution and fluxes globally… read more here.
Keywords: high order; differential quadrature; method; generalized differential ... See more keywords
Dynamic response analysis of viscoelastic pavement using differential quadrature element method
Sign Up to like & getrecommendations! Published in 2018 at "International Journal of Pavement Engineering"
DOI: 10.1080/10298436.2018.1545091
Abstract: ABSTRACT This paper proposes a methodology which is composed of differential quadrature element method (DQEM) and Newmark’s time integration scheme for response analysis of viscoelastic pavement under vehicular loads. An incremental form of Boltzmann’s correspondence… read more here.
Keywords: element method; pavement; quadrature element; differential quadrature ... See more keywords
Thermo-mechanical vibration of orthotropic cantilever and propped cantilever nanoplate using generalized differential quadrature method
Sign Up to like & getrecommendations! Published in 2017 at "Mechanics of Advanced Materials and Structures"
DOI: 10.1080/15376494.2016.1196770
Abstract: ABSTRACT In this article, the vibration frequency of an orthotropic nanoplate under the effect of temperature change is investigated. Using nonlocal elasticity theory, governing equations are derived. Based on the generalized differential quadrature method for… read more here.
Keywords: generalized differential; cantilever; vibration; differential quadrature ... See more keywords
Thermal buckling and free vibration of FG truncated conical shells with stringer and ring stiffeners using differential quadrature method
Sign Up to like & getrecommendations! Published in 2019 at "Mechanics Based Design of Structures and Machines"
DOI: 10.1080/15397734.2018.1545588
Abstract: Abstract In this paper, thermal buckling and free vibration of orthogonally stiffened functionally graded truncated conical shells in thermal environment is investigated. Conical shell has been stiffened by rings and stringers, and the influences of… read more here.
Keywords: truncated conical; buckling free; conical shells; thermal buckling ... See more keywords
A numerical study of two-dimensional coupled systems and higher order partial differential equations
Sign Up to like & getrecommendations! Published in 2019 at "Asian-European Journal of Mathematics"
DOI: 10.1142/s1793557119500712
Abstract: In this paper, a new approach and methodology is developed by incorporating differential quadrature technique with Bernstein polynomials. In differential quadrature method, approximations are done in a way that the derivatives of the function are… read more here.
Keywords: order; method; differential equations; differential quadrature ... See more keywords
Dynamic response of an annular circular plate made of shape memory alloy using differential quadrature method
Sign Up to like & getrecommendations! Published in 2022 at "Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science"
DOI: 10.1177/09544062211062764
Abstract: This study investigates the dynamic response of an annular circular plate with clamped edges under harmonic load. The circular plate is analyzed based on the first-order shear deformation theory (FSDT). The Boyd-Lagoudas constitutive model is… read more here.
Keywords: circular plate; plate; dynamic response; annular circular ... See more keywords