Dynamic analysis of viscoelastic foundation plate with fractional Kelvin-Voigt model using shifted Bernstein polynomials

DOI10.1002/MMA.9715MaRDI QIDQ6496110

Ai-Min Yang, Yi-Ming Chen, Yuhuan Cui, Jingguo Qu, Qi Zhang

Publication date: 2 May 2024

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

convergence analysisnumerical solutionfractional integro-differential equationfractional Kelvin-Voigt modelfoundation plateshifted Bernstein polynomials

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Polynomials in number theory (11C08)

Cites Work

• Identification of constitutive parameters for fractional viscoelasticity
• The operational matrices of Bernstein polynomials for solving the parabolic equation subject to specification of the mass
• A new approach to improve the order of approximation of the Bernstein operators: theory and applications
• A new operational matrix for solving fractional-order differential equations
• Numerical solutions of integral and integro-differential equations using Chebyshev polynomials of the third kind
• A nonlinear viscoelastic plate equation with \(\vec{p} ( x , t )\)-Laplace operator: blow up of solutions with negative initial energy
• Shifted Legendre polynomials algorithm used for the numerical analysis of viscoelastic plate with a fractional order model
• Variable fractional modeling and vibration analysis of variable-thickness viscoelastic circular plate
• Vibration analysis of variable fractional viscoelastic plate based on shifted Chebyshev wavelets algorithm
• Refined error estimates for Green kernel-based interpolation
• Analytical solutions of linear fractional partial differential equations using fractional Fourier transform
• Error analysis and approximation of Jacobi pseudospectral method for the integer and fractional order integro-differential equation
• Fractional modelling and numerical simulations of variable-section viscoelastic arches
• Legendre wavelets approach for numerical solutions of distributed order fractional differential equations
• Free vibration analysis of viscoelastic plates with simultaneous calculation of natural frequency and viscous damping
• A Legendre collocation method for fractional integro-differential equations
• A fractional partial differential equation based multiscale denoising model for texture image
• Haar Wavelet Operational Matrix Method for Solving Fractional Partial Differential Equations
• Solution of a partial integro-differential equation arising from viscoelasticity
• Numerical analysis of nonlinear variable fractional viscoelastic arch based on shifted Legendre polynomials
• NUMERICAL SOLUTION OF NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS USING HAAR WAVELET COLLOCATION METHOD
• Solving nonlinear fractional partial differential equations using the homotopy analysis method

This page was built for publication: Dynamic analysis of viscoelastic foundation plate with fractional Kelvin-Voigt model using shifted Bernstein polynomials