Results 1 to 10 of about 159 (69)
Efficient and Unconditional Energy Stable Schemes for the Micropolar Navier-Stokes Equations
CSIAM Transactions on Applied Mathematics, 2022 We develop in this paper efficient numerical schemes for solving the micropolar Navier-Stokes equations by combining the SAV approach and pressure-correction method.
Jie Shen null, Nan Zheng
semanticscholar +1 more source
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
doaj +1 more source
Nonlinear Engineering, 2023 In this research, a compact combination of Chebyshev polynomials is created and used as a spatial basis for the time fractional fourth-order Euler–Bernoulli pinned–pinned beam.
Moustafa Mohamed +2 more
doaj +1 more source
A posteriori analysis of the spectral element discretization of a non linear heat equation
Advances in Nonlinear Analysis, 2020 The paper deals with a posteriori analysis of the spectral element discretization of a non linear heat equation. The discretization is based on Euler’s backward scheme in time and spectral discretization in space. Residual error indicators related to the
Abdelwahed Mohamed, Chorfi Nejmeddine
doaj +1 more source
Moroccan Journal of Pure and Applied Analysis, 2020 The present paper is devoted to the numerical approximation for the diffusion equation subject to non-local boundary conditions. For the space discretization, we apply the Legendre-Chebyshev pseudospectral method, so that, the problem under consideration
Chattouh Abdeldjalil, Saoudi Khaled
doaj +1 more source
A Jacobi Collocation Method for the Fractional Ginzburg-Landau Differential Equation
Advances in Applied Mathematics and Mechanics, 2020 In this paper, we design a collocation method to solve the fractional Ginzburg-Landau equation. A Jacobi collocation method is developed and implemented in two steps.
Yin Yang
semanticscholar +1 more source
Advances in Applied Mathematics and Mechanics, 2020 In this paper, an initial boundary value problem of the space-time fractional diffusion equation is studied. Both temporal and spatial directions for this equation are discreted by the Galerkin spectral methods.
Huasheng Wang
semanticscholar +1 more source
Multiplicity and structures for traveling wave solutions of the Kuramoto‐Sivashinsky equation
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 70, Page 3839-3848, 2004., 2004 The Kuramoto‐Sivashinsky (KS) equation is known as a popular prototype to represent a system in which the transport of energy through nonlinear mode coupling produces a balance between long wavelength instability and short wavelength dissipation. Existing numerical results indicate that the KS equation admits three classes (namely, regular shock ...
Bao-Feng Feng
wiley +1 more source
International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 5, Page 305-313, 2000., 2000 It is well known that a polynomial‐based approximation scheme applied to a singularly perturbed equation is not uniformly convergent over the geometric domain of study. Such scheme results in a numerical solution, say σ which suffers from severe inaccuracies particularly in the boundary layer.
Dialla Konate
wiley +1 more source
On the convergence analysis of a time dependent elliptic equation with discontinuous coefficients
Advances in Nonlinear Analysis, 2019 In this paper, we consider a heat equation with diffusion coefficient that varies depending on the heterogeneity of the domain. We propose a spectral elements discretization of this problem with the mortar domain decomposition method on the space ...
Abdelwahed Mohamed, Chorfi Nejmeddine
doaj +1 more source