Results 51 to 60 of about 159 (69)

A hybrid finite element/finite difference method for reconstruction of dielectric properties of conductive objects

International Conference on Electromagnetics in Advanced Applications
The aim of this article is to present a hybrid finite element/finite difference method which is used for reconstructions of electromagnetic properties within a realistic breast phantom.
Eric Lindström, Larisa Beilina
semanticscholar   +1 more source

A Legendre-Laguerre-Galerkin Method for Uniform Euler-Bernoulli Beam Equation

East Asian Journal on Applied Mathematics, 2018
We consider a Galerkin method based on Legendre and Laguerre polynomials and apply it to the Euler-Bernoulli beam equation. The matrices of the method are well structured, which results in substantial reduction of computational cost.
M. A. Bassuony, W. Abd-Elhameed, E. H. Doha, Youssri Hassan Youssri   +3 more
semanticscholar   +1 more source

Geometric Numerical Integration for Peakon b -Family Equations

, 2016
In this paper, we study the Camassa-Holm equation and the DegasperisProcesi equation. The two equations are in the family of integrable peakon equations, and both have very rich geometric properties.
Wenjun Cai, Yajuan Sun, Yushun Wang
semanticscholar   +1 more source

Numerical solution of sine-Gordon equation by spectral method

, 2020
Numerical methods are essential in solving nonlinear differential equations that do not have closed form solution. In this paper, we develop spectral function method that allows L2 projection of an operator onto a finite dimensional Hilbert space to ...
N. Thapa
semanticscholar   +1 more source

Chebyshev wavelet based approximation method to some non-linear differential equations arising in engineering

, 2015
The main aim of this paper is to discuss about, Chebyshev wavelets based approximation solution for linear and non-linear differential equations arising in science and engineering.
B. Sripathy, P. Vijayaraju, G. Hariharan
semanticscholar   +1 more source

Equivalent a Posteriori Error Estimators for Semilinear Elliptic Equations with Dirac Right-Hand Side

, 2020
In this paper, we consider a semilinear elliptic equation with Dirac righthand side. An equivalent a posteriori error estimator for the Ls norm is obtained.
Wenting Mao
semanticscholar   +1 more source

Spectral Deferred Correction Methods for Fractional Differential Equations

Numerical Mathematics: Theory, Methods and Applications, 2018
In this paper, we propose and analyze a spectral deferred correction method for the fractional differential equation of order α. The proposed method is based on a well-known finite difference method of (2− α)-order, see [Sun and Wu, Appl. Numer.
Chunwan Lv
semanticscholar   +1 more source

ADI-Spectral Collocation Methods for Two-Dimensional Parabolic Equations

, 2020
ADI-spectral collocation methods for two-dimensional parabolic equations on bounded and unbounded domains are studied. A spectral collocation scheme is adopted for spatial discretisation and the Crank-Nicolson ADI scheme is used for time discretisation ...
Dongqin Gu
semanticscholar   +1 more source

Discovery of New Metastable Patterns in Diblock Copolymers

, 2013
The orderedpatterns formed bymicrophase-separatedblock copolymer systems demonstrate periodic symmetry, and all periodic structures belong to one of 230 space groups.
Kai Jiang, Chu Wang, Yunqing Huang, Pingwen Zhang   +3 more
semanticscholar   +1 more source

Locally Divergence-Free Spectral-DG Methods for Ideal Magnetohydrodynamic Equations on Cylindrical Coordinates

Communications in Computational Physics, 2019
In this paper, we propose a class of high order locally divergence-free spectral-discontinuous Galerkin (DG) methods for three dimensional (3D) ideal magnetohydrodynamic (MHD) equations on cylindrical geometry.
Yong Liu
semanticscholar   +1 more source