Numerical analysis of fractional viscoelastic column based on shifted Chebyshev wavelet function

DOI10.1016/j.apm.2020.09.055zbMath1481.74428OpenAlexW3092362416MaRDI QIDQ2056571

Yanyan Li

Publication date: 8 December 2021

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2020.09.055

zbMATH Keywords

convergence analysisnumerical solutionviscoelastic columnfractional constitutive modelshifted Chebyshev wavelet function

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Numerical methods for wavelets (65T60) Linear constitutive equations for materials with memory (74D05) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Fractional partial differential equations (35R11) Isogeometric methods applied to problems in solid mechanics (74S22)

Related Items (9)

Finite time stability of 2D fractional hyperbolic system with time delay ⋮ Numerical analysis of variable fractional viscoelastic column based on two-dimensional Legendre wavelets algorithm ⋮ Nonlinear dynamics of fractional viscoelastic PET membranes with linearly varying density ⋮ Barycentric interpolation collocation method for solving fractional linear Fredholm-Volterra integro-differential equation ⋮ Variational fractional-order modeling of viscoelastic axially moving plates and vibration simulation ⋮ Some results for a class of delayed fractional partial differential equations with Caputo–Hadamard derivative ⋮ Shifted Legendre polynomials algorithm used for the numerical analysis of viscoelastic plate with a fractional order model ⋮ Some results for a class of two-dimensional fractional hyperbolic differential systems with time delay ⋮ Barycentric interpolation collocation algorithm to solve fractional differential equations

Cites Work

• The computation of the degree of an approximate greatest common divisor of two Bernstein polynomials
• Stochastic stability of a viscoelastic column axially loaded by a white noise force
• Phase and anti-phase synchronization of fractional order chaotic systems via active control
• Response and stability of SDOF viscoelastic system under wideband noise excitations
• Creep constitutive models for viscoelastic materials based on fractional derivatives
• Second kind shifted Chebyshev polynomials for solving space fractional order diffusion equation
• Numerical algorithm to solve system of nonlinear fractional differential equations based on wavelets method and the error analysis
• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
• Split-step spectral Galerkin method for the two-dimensional nonlinear space-fractional Schrödinger equation
• Finite element method for nonlinear Riesz space fractional diffusion equations on irregular domains
• Boundary layer flow of fractional Maxwell fluid over a stretching sheet with variable thickness
• Numerical solutions of integral and integro-differential equations using Chebyshev polynomials of the third kind
• A numerical method for solving fractional-order viscoelastic Euler-Bernoulli beams
• A numerical method for solving Caputo's and Riemann-Liouville's fractional differential equations which includes multi-order fractional derivatives and variable coefficients
• Implicit analytic solutions for a nonlinear fractional partial differential beam equation
• Generalized shifted Chebyshev polynomials: solving a general class of nonlinear variable order fractional PDE
• Legendre wavelets method for the numerical solution of fractional integro-differential equations with weakly singular kernel
• Computation of Chebyshev polynomials for union of intervals
• A tunable finite difference method for fractional differential equations with non-smooth solutions
• An efficient and accurate method for modeling nonlinear fractional viscoelastic biomaterials
• Legendre wavelets approach for numerical solutions of distributed order fractional differential equations
• Numerical algorithm for time-fractional Sawada-Kotera equation and Itô equation with Bernstein polynomials
• A fractional partial differential equation based multiscale denoising model for texture image
• Numerical analysis of static and dynamic stabilities of viscoelastic columns
• ANALYSIS OF FOUR-PARAMETER FRACTIONAL DERIVATIVE MODEL OF REAL SOLID MATERIALS
• Dynamical stability of viscoelastic column with fractional derivative constitutive relation

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