Numerical analysis of axially non-linear viscoelastic string with the variable fractional order model by using Bernstein polynomials algorithm
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Publication:5063466
DOI10.1080/00207160.2021.1924367OpenAlexW3158734873MaRDI QIDQ5063466
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Publication date: 21 March 2022
Published in: International Journal of Computer Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00207160.2021.1924367
numerical methodBernstein polynomialsnumerical solutionsviscoelastic stringvariable fractional order modelnon-linear constitutive equation
Nonlinear constitutive equations for materials with memory (74D10) Approximation by polynomials (41A10) Numerical methods for partial differential equations, boundary value problems (65Nxx) Algorithms on strings (68W32)
Cites Work
- Numerical solution for the variable order linear cable equation with Bernstein polynomials
- Numerical solution of fractional partial differential equations with variable coefficients using generalized fractional-order Legendre functions
- Computational method based on Bernstein operational matrices for nonlinear Volterra-Fredholm-Hammerstein integral equations
- Numerical solution for a class of nonlinear variable order fractional differential equations with Legendre wavelets
- Asymptotic nonlinear behaviors in transverse vibration of an axially accelerating viscoelastic string
- A numerical method for simulating transverse vibrations of an axially moving string
- Shifted Legendre polynomials algorithm used for the dynamic analysis of viscoelastic pipes conveying fluid with variable fractional order model
- A higher order numerical method for time fractional partial differential equations with nonsmooth data
- Dynamic instability of axially moving viscoelastic plate
- Bernstein operational matrix with error analysis for solving high order delay differential equations
- Variable-order fractional description of compression deformation of amorphous glassy polymers
- A wavelet approach for solving multi-term variable-order time fractional diffusion-wave equation
- Shifted-Chebyshev-polynomial-based numerical algorithm for fractional order polymer visco-elastic rotating beam
- Fitted fractional reproducing kernel algorithm for the numerical solutions of ABC fractional Volterra integro-differential equations
- A computational wavelet method for variable-order fractional model of dual phase lag bioheat equation
- Boundary controllability and source reconstruction in a viscoelastic string under external traction
- On the variable order dynamics of the nonlinear wake caused by a sedimenting particle
- A high-order scheme to approximate the Caputo fractional derivative and its application to solve the fractional diffusion wave equation
- A review on variable-order fractional differential equations: mathematical foundations, physical models, numerical methods and applications
- Variable-order fractional numerical differentiation for noisy signals by wavelet denoising
- Simulations of transverse vibrations of an axially moving string: a modified difference approach
- Transient responses of an axially accelerating viscoelastic string constituted by a fractional differentiation law
- Computational method based on Bernstein operational matrices for multi-order fractional differential equations
- Some numerical integration methods based on Bernstein polynomials
- Classical Vibration Analysis of Axially Moving Continua
- Mechanics with variable-order differential operators
- Integration and differentiation to a variable fractional order
- Hybrid Bernstein Block–Pulse functions for solving system of fractional integro-differential equations
- Numerical algorithm to solve generalized fractional pantograph equations with variable coefficients based on shifted Chebyshev polynomials
