Results 111 to 120 of about 102,961 (219)

Two modified shifted Chebyshev–Galerkin operational matrix methods for even-order partial boundary value problems

Boundary Value Problems
This paper presents two operational matrices. The first one represents integer-order derivatives of the modified shifted Chebyshev polynomials of the second kind.
M. Abdelhakem, Dina Abdelhamied, M. El-Kady, Y. H. Youssri   +3 more
doaj   +1 more source

On the convergence of Galerkin approximations

, 1970
Let X be a separable Banach space over the reals and let X· be its dual. If x ϵ  X and u ϵ X* we will write and lt;x, u and gt; instead of u (x).  Also, if P: X → X is a linear operator we will denote by  P* the adjoint from X* into X* which is defined by and lt;x, P* u and gt; = and lt;P x, u and gt;. The strong convergence in X will be denoted by
openaire   +2 more sources

Galerkin metodu

, 2021
In this study, we showed Banach space operator in the implementation of equations Galerkin approximate solution method. In here we gave some notions and definitions. Especially, we showed the convergence of Galerkin's approximations implementation of the Galerkin series.
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An implicit-explicit Runge-Kutta discontinuous Galerkin method for advection-diffusion equations

四川大学学报. 自然科学版
In this paper， an implicit-explicit Runge-Kutta discontinuous Galerkin method is proposed for the advection-diffusion equation.In the method， a two-stage Runge-Kutta scheme is employed for the temporal discretization， a discontinuous Galerkin method is ...
QING Shuwen, WANG Lu, FENG Minfu
doaj  

Spectral Galerkin Methods for Riesz Space-Fractional Convection–Diffusion Equations

Fractal and Fractional
This paper applies the spectral Galerkin method to numerically solve Riesz space-fractional convection–diffusion equations. Firstly, spectral Galerkin algorithms were developed for one-dimensional Riesz space-fractional convection–diffusion equations ...
Xinxia Zhang, Jihan Wang, Zhongshu Wu, Zheyi Tang, Xiaoyan Zeng   +4 more
doaj   +1 more source

A Compact Difference-Galerkin Spectral Method of the Fourth-Order Equation with a Time-Fractional Derivative

Fractal and Fractional
In this article, we proposed a compact difference-Galerkin spectral method for the fourth-order equation in multi-dimensional space with the time-fractional derivative order α∈(1,2).
Yujie Wang, Shichao Yi
doaj   +1 more source

Distributional derivatives and stability of discontinuous Galerkin finite element approximation methods

Electronic Journal of Differential Equations, 2016
The goal of this article is to explore and motivate stabilization requirements for various types of discontinuous Galerkin (DG) methods. A new approach for the understanding of DG approximation methods for second order elliptic partial differential ...
Thomas Lewis
doaj  

Element-Free Galerkin Method for Analyzing Size-Dependent Thermally Induced Free Vibration Characteristics of Functionally Graded Magneto-Electro-Elastic Doubly Curved Microscale Shells. [PDF]

Materials (Basel)
Wu CP, Liu MJ.
europepmc   +1 more source

Attenuation of higher-order acoustic modes in a cylindrical waveguide using lined panel-cavity coupling. [PDF]

PLoS One
Alrashdi A, Wahab A, Yaseen A, Alkuhayli N, Alahmadi H.   +4 more
europepmc   +1 more source

Modeling and analysis of stochastic quantum magnetohydrodynamics equations with energy estimates. [PDF]

Sci Rep
Divyabala K, Durga N.
europepmc   +1 more source