Shifted Legendre polynomials algorithm used for the numerical analysis of viscoelastic plate with a fractional order model

DOI10.1016/J.MATCOM.2021.10.007OpenAlexW3205379584MaRDI QIDQ2060273

Yanyan Li

Publication date: 13 December 2021

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2021.10.007

zbMATH Keywords

numerical analysisoperational matrixgoverning equationviscoelastic plateshifted Legendre polynomialfractional Kelvin-Voigt model

Mathematics Subject Classification ID

Mechanics of deformable solids (74-XX) Numerical analysis (65-XX)

Related Items (6)

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 ⋮ Dynamic analysis of viscoelastic foundation plate with fractional Kelvin-Voigt model using shifted Bernstein polynomials ⋮ Variable fractional modeling and vibration analysis of variable-thickness viscoelastic circular plate ⋮ Dynamic analysis of variable fractional order cantilever beam based on shifted Legendre polynomials algorithm ⋮ Bifurcation and resonance of fractional cubic nonlinear system

Cites Work

• Post-buckling analysis of viscoelastic plates with fractional derivative models
• Application of the operational matrix of fractional-order Legendre functions for solving the time-fractional convection-diffusion equation
• Numerical algorithm to solve system of nonlinear fractional differential equations based on wavelets method and the error analysis
• Analysis of damped vibrations of linear viscoelastic plates with damping modeled with fractional derivatives
• Numerical solution of a class of two-dimensional nonlinear Volterra integral equations using Legendre polynomials
• Numerical algorithm to Caputo type time-space fractional partial differential equations with variable coefficients
• Numerical analysis of fractional viscoelastic column based on shifted Chebyshev wavelet function
• Shifted Legendre polynomials algorithm used for the dynamic analysis of PMMA viscoelastic beam with an improved fractional model
• Approximate analytical solution of a coupled system of fractional partial differential equations by Bernstein polynomials
• Haar wavelet method for solving fractional partial differential equations numerically
• Convergence analysis of space-time Jacobi spectral collocation method for solving time-fractional Schrödinger equations

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