The spectral method (p-FEM) is used to solve the problem of a thin-walled structure
deformation, such as a stiffened panel. The problem of the continuous conjugation of the …

In this article, we present a spectral element method for numerical solution of linear Volterra
integro-differential equations with boundary conditions. First, we obtain discrete form of the …

Generalized Jacobi polynomials with indexes α, β ∈ R α, β∈ R are introduced and some
basic properties are established. As examples of applications, the second-and fourth-order …

In the variational formulation of a boundary value problem for the harmonic oscillator,
Sobolev inner products appear in a natural way. First, we study the sequences of Sobolev …

In this paper, we study the Legendre spectral element method for solving the sine-Gordon
equation in one dimension. Firstly, we discretize the equation by Legendre spectral element …

A numerical scheme for nonlinear hyperbolic evolution equations is made based on the
implicit Runge-Kutta method and the Fourier spectral method. The detailed discretization …

In this paper, we study the a posteriori error estimates of Galerkin spectral methods for the
singularly perturbed problem on a unit interval. By the generalized orthogonal Jacobi …

An efficient and accurate Legendre-Laguerre spectral element method for solving the
Camassa-Holm equation on the half line is proposed. The spectral element method has the …

The main aim of this paper is to investigate Sobolev orthogonality and families of orthogonal
polynomials on the triangle as a generalization of the results in Xu, Y. Constr. Approx. 46 …

广义Rosenau-Kawahara方程的有效谱方法 上海理工大学学报 2024, Vol. 46 Issue (1): 30-35, 86
PDF 引用本文 文贤, 王中庆. 广义Rosenau-Kawahara方程的有效谱方法[J]. 上海理工大学学报 …