A wavelet method for solving a class of nonlinear boundary value problems

X Liu, Y Zhou, X Wang, J Wang - Communications in Nonlinear Science …, 2013 - Elsevier
We develop an approximation scheme for a function defined on a bounded interval by
combining techniques of boundary extension and Coiflet-type wavelet expansion. Such a …

[HTML][HTML] 区间B 样条小波有限元GPR 模拟双相随机混凝土介质

冯德山, 王珣 - 地球物理学报, 2016 - html.rhhz.net
基于可分离小波理论, 由一维区间B 样条小波尺度函数的张量积构造二维B 样条小波基,
并将它作为GPR 波动方程求解的插值函数, 通过引入转换矩阵, 实现小波系数空间与雷达电磁场 …

A new numerical scheme with Wavelet–Galerkin followed by spectral deferred correction for solving string vibration problems

X Ma, B Wu, J Zhang, X Shi - Mechanism and Machine Theory, 2019 - Elsevier
In this paper, the nonlinear governing equations for longitudinal and transverse vibrations of
axially moving strings are presented first and a new numerical scheme with Wavelet …

Vibration-Based Structural Damage Detection and System Identification Using Wavelet Multiresolution Analysis

SA Ravanfar - 2017 - search.proquest.com
During the service life of various civil, mechanical and aerospace structures, damage can
nucleate, accumulate and propagate leading to out-of-service conditions which are …

Legendre wavelet operational matrix method for solving fractional differential equations in some special conditions

A Seçer, S Altun, M Bayram - Thermal Science, 2019 - avesis.gelisim.edu.tr
© 2019 Society of Thermal Engineers of Serbia. This paper proposes a new technique
which rests upon Legendre wavelets for solving linear and non-linear forms of fractional …

The GPR simulation of bi-phase random concrete medium using finite element of B-spline wavelet on the interval

DS FENG, X WANG - Chinese Journal of Geophysics, 2016 - en.dzkx.org
Based on the separable wavelet theory, the scaling functions of one-dimensional B-spline
wavelet on the interval (BSWI) is employed to construct the two-dimensional B-spline …

Wavelet‐Galerkin Quasilinearization Method for Nonlinear Boundary Value Problems

U Saeed, M Rehman - Abstract and Applied Analysis, 2014 - Wiley Online Library
A numerical method is proposed by wavelet‐Galerkin and quasilinearization approach for
nonlinear boundary value problems. Quasilinearization technique is applied to linearize the …

An improved wavelet–Galerkin method for dynamic response reconstruction and parameter identification of shear-type frames

H Bu, D Wang, P Zhou, H Zhu - Journal of Sound and Vibration, 2018 - Elsevier
An improved wavelet–Galerkin (IWG) method based on the Daubechies wavelet is proposed
for reconstructing the dynamic responses of shear structures. The proposed method flexibly …

Imposing boundary and interface conditions in multi-resolution wavelet Galerkin method for numerical solution of Helmholtz problems

MR Yousefi, R Jafari, HA Moghaddam - Computer Methods in Applied …, 2014 - Elsevier
In this paper, we propose a new formulation for numerical solution of boundary value
problems using mesh-free multi-resolution wavelet Galerkin (WG) method. A difficulty with …

Daubechies 小波有限元求解GPR 波动方程

冯德山, 杨炳坤, 王珣, 杜华坤 - 地球物理学报, 2016 - geophy.cn
基于可分离小波理论, 由一维Daubechies 尺度函数的张量积构造二维Daubechies 小波基,
并将它作为GPR 波动方程求解的插值函数, 导出了二维Daubechies 小波有限元GPR …