Zobrazeno 1 - 10
of 45
pro vyhledávání: '"Jiaquan Xie"'
Publikováno v:
Fractal and Fractional, Vol 6, Iss 3, p 150 (2022)
In this study, an efficacious method for solving viscoelastic dynamic plates in the time domain is proposed for the first time. The differential operator matrices of different orders of Bernstein polynomials algorithm are adopted to approximate the t
Externí odkaz:
https://doaj.org/article/07644ad1bcbb4e95bf58c9f54eda2de1
Publikováno v:
Boundary Value Problems, Vol 2018, Iss 1, Pp 1-16 (2018)
Abstract In this paper, a numerical scheme based on the three-dimensional block-pulse functions is proposed to solve the three-dimensional fractional Poisson type equations with Neumann boundary conditions. The differential operational matrices of fr
Externí odkaz:
https://doaj.org/article/569b268df748434cbf30bc230add9714
Publikováno v:
Complexity, Vol 2019 (2019)
In practice, due to the fact that the phenomenon of drawing self-excited vibration can be deemed as one of the hunting phenomena of the mechanical system, this study focuses on investigating the drawing self-excited vibration process through proposin
Externí odkaz:
https://doaj.org/article/5ff78b239ea84f3b92d33f172ac0a9d2
Publikováno v:
Discrete Dynamics in Nature and Society, Vol 2017 (2017)
In this paper, a robust, effective, and accurate numerical approach is proposed to obtain the numerical solution of fractional differential equations. The principal characteristic of the approach is the new orthogonal functions based on shifted Legen
Externí odkaz:
https://doaj.org/article/63b49d39d3cd4705b8af64ba5f1a3579
Publikováno v:
Discrete Dynamics in Nature and Society, Vol 2017 (2017)
In the current study, a numerical technique for solving one-dimensional fractional nonsteady heat transfer model is presented. We construct the second kind Chebyshev wavelet and then derive the operational matrix of fractional-order integration. The
Externí odkaz:
https://doaj.org/article/0ff85cb5b75649e780fa3a5c56df9e7b
Publikováno v:
Mathematical Problems in Engineering. 2022:1-12
In order to solve coupled fractional differential-integral equations more effectively and to deal with the problem that the huge algebraic equations lead to considerable computational complexity and large data storage requirements in the calculation
Publikováno v:
Mathematical Methods in the Applied Sciences. 46:5160-5175
Publikováno v:
Mathematical Methods in the Applied Sciences. 45:10099-10115
Publikováno v:
Mathematics and Computers in Simulation. 193:190-203
An effective numerical algorithm is presented to analyze the fractional viscoelastic plate in the time domain for the first time in this paper. The viscoelastic behavior of the plate is described with fractional Kelvin–Voigt (FKV) constitutive mode
Publikováno v:
Journal of Computational and Applied Mathematics. 423:114952