Shifted Legendre polynomials algorithm used for the dynamic analysis of viscoelastic pipes conveying fluid with variable fractional order model
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Publication:821645
DOI10.1016/j.apm.2019.12.011zbMath1481.74104OpenAlexW2996352244WikidataQ126567101 ScholiaQ126567101MaRDI QIDQ821645
Publication date: 21 September 2021
Published in: Applied Mathematical Modelling (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apm.2019.12.011
chaotic motiondynamic analysisnonlinear integral-differential equationshifted Legendre polynomials algorithmvariable fractional order modelviscoelastic pipes
Nonlinear constitutive equations for materials with memory (74D10) Applications to the sciences (65Z05) Fractional partial differential equations (35R11) Applications of fractional calculus in solid mechanics (74S40)
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Cites Work
- Numerical solution for the variable order linear cable equation with Bernstein polynomials
- Numerical solution for a class of nonlinear variable order fractional differential equations with Legendre wavelets
- On some model equations for pulsatile flow in viscoelastic vessels
- Numerical algorithm to solve system of nonlinear fractional differential equations based on wavelets method and the error analysis
- Modelling the relaxation modulus of linear viscoelasticity using Kohlrausch functions
- The Chebyshev collocation-path following method for solving sixth-order Sturm-Liouville problems
- The analysis of nonlinear vibrations of a pipe conveying an ideal fluid
- A new Chebyshev spectral approach for vibration of in-plane functionally graded Mindlin plates with variable thickness
- 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
- Divergence instability of pipes conveying fluid with uncertain flow velocity
- On fractional-Legendre spectral Galerkin method for fractional Sturm-Liouville problems
- Numerical solution of the static beam problem by Bernoulli collocation method
- Nonlinear vibration analysis of a fractional dynamic model for the viscoelastic pipe conveying fluid
- Mathematical simulation of nonlinear oscillations of viscoelastic pipelines conveying fluid
- Finite difference/Hermite-Galerkin spectral method for multi-dimensional time-fractional nonlinear reaction-diffusion equation in unbounded domains
- A meshless local Galerkin method for solving Volterra integral equations deduced from nonlinear fractional differential equations using the moving least squares technique
- Error analysis of the Legendre-Gauss collocation methods for the nonlinear distributed-order fractional differential equation
- A computational approach for the solution of a class of variable-order fractional integro-differential equations with weakly singular kernels
- Fractional-order Legendre-collocation method for solving fractional initial value problems
- Fractional modeling of viscoelasticity in 3D cerebral arteries and aneurysms
- Numerical Solution for the Variable Order TimeFractional Diffusion Equation with Bernstein Polynomials
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