Results 11 to 20 of about 442,060 (253)
Analytical and Numerical Solutions for a Kind of High-Dimensional Fractional Order Equation
Fractal and Fractional, 2022 In this paper, a (4+1)-dimensional nonlinear integrable Fokas equation is studied. It is rarely studied because the order of the highest-order derivative term of this equation is higher than the common generalized (4+1)-dimensional Fokas equation ...
Chang-Na Lu, Cun-Juan Hou, Ning Zhang
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Initial-boundary value problem for the equation of forced vibrations of a cantilever beam [PDF]
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2021 In this paper, an initial-boundary value problem for the equation of forced vibrations of a cantilever beam is studied. Such a linear differential equation of the fourth order describes bending transverse vibrations of a homogeneous beam under the action
Kamil B. Sabitov, Oksana V. Fadeeva
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Spectral methods in the presence of discontinuities [PDF]
Journal of Computational Physics, 2019 20 pages, 18 ...
Joanna Piotrowska +2 more
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Spectral discretization of the time-dependent Navier-Stokes problem with mixed boundary conditions
Advances in Nonlinear Analysis, 2022 In this work, we handle a time-dependent Navier-Stokes problem in dimension three with a mixed boundary conditions. The variational formulation is written considering three independent unknowns: vorticity, velocity, and pressure.
Abdelwahed Mohamed, Chorfi Nejmeddine
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Mathematics, 2023 Applications of non-Newtonian fluids have been widespread across industries, accompanied by theoretical developments in engineering and mathematics. This paper studies a two-dimensional multi-term time fractional viscoelastic non-Newtonian fluid model by
Mohammed M. Al-Shomrani +2 more
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A Sparse Spectral Method on Triangles [PDF]
SIAM Journal on Scientific Computing, 2019 In this paper, we demonstrate that many of the computational tools for univariate orthogonal polynomials have analogues for a family of bivariate orthogonal polynomials on the triangle, including Clenshaw's algorithm and sparse differentiation operators.
Sheehan Olver +2 more
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Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2017 We study the Dirichlet problem in a parallelepiped for a three-dimensional equation of mixed type with three singular coefficients. Separation of variables with Fourier series and spectral analysis are used to investigate this problem.
Akhmadjon K Urinov, Kamoliddin T Karimov
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Nonlinear consolidation model for stratified soils with vertical drains based on spectral method
Yantu gongcheng xuebao, 2021 Many soft soil foundations with vertical drains are stratified, and the permeability and compressibility of soils change nonlinearly during the consolidation process.
XU Bin-hua 1, 2, HE Ning 1, 3, ZHOU Yan-zhang 1, ZHANG Zhong-liu 1
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On the Compressive Spectral Method
Multiscale Modeling & Simulation, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alan Mackey +2 more
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On the theory of the known inverse problems for the heat transfer equation
Учёные записки Казанского университета: Серия Физико-математические науки, 2019 The inverse problems for finding the initial condition and the right-hand side were studied for the heat transfer equation. A solution of the initial boundary value problem for the inhomogeneous heat transfer equation with sufficient conditions for the ...
K.B. Sabitov, A.R. Zaynullov
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