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Wavelet collocation method for the numerical solution of Burgers Equation

机译：Burgers方程数值解的小波配置法

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摘要

We present a numerical resolution of Burgers Equation with small viscosity ((nu) = 1./100) in the basis of Daubechies scaling functions. The spatial discretization is based on a collation technique. Periodic boundary conditions are considered. Numerical results show that oscillations are confined in the vicinity of the shock. If symmetry is known the oscillations are easily eliminated by decreasing the scale. Moreover when the method is associated with a coordinate transform, accurate results are obtained with relatively small number of points. (author). 10 refs, 8 figs, 1 tab. (Atomindex citation 27:066653)

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作者
Garba, A.;
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年度 1996
页码 1-14
总页数 14
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Calculation methods; Navier-Stokes Equations; Comparative Evaluations; Finite Difference Method; Nonlinear Problems; Numerical Solution; One-Dimensional Calculations; Spatial Resolution;

机译：计算方法; Navier-stokes方程;比较评价;有限差分法;非线性问题;数值解;一维计算;空间分辨率;

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1. An Approach with Haar Wavelet Collocation Method for Numerical Simulations of Modified KdV and Modified Burgers Equations [J] . Ray S. Saha, Gupta A. K. Computer Modeling in Engineering & Sciences . 2014,第5期

机译：Haar小波配置法的改进KdV方程和Burgers方程数值模拟
2. Laguerre wavelets collocation method for the numerical solution of the Benjamina–Bona–Mohany equations [J] . S. C. Shiralashetti, S. Kumbinarasaiah Journal of Taibah University for Science . 2019,第1期

机译：Benjamina-Bona-Mohany方程数值解的Laguerre小波配置方法
3. Numerical Solution of Time-Fractional Diffusion-Wave Equations via Chebyshev Wavelets Collocation Method [J] . Fengying Zhou, Xiaoyong Xu Advances in Mathematical Physics . 2017,第Pta2期

机译：Chebyshev小波搭配方法的时间分数漫射波方程的数值解
4. Numerical solution of the advection and Burgers equations using the point collocation- based method of finite spheres (PCMFS) [C] . C. Schmitt, Z. Rusak, S. De AIAA Fluid Dynamics Conference . 2006

机译：基于点配点的有限球面方法（PCMFS）对流和Burgers方程的数值解
5. Meshless collocation methods for the numerical solution of elliptic boundary valued problems the rotational shallow water equations on the sphere. [D] . Blakely, Christopher D. 2009

机译：椭圆边界值数值解的无网格配点方法使球体上的浅水旋转方程成为问题。
6. A Collocation Method for Numerical Solution of Nonlinear Delay Integro-Differential Equations for Wireless Sensor Network and Internet of Things [O] . Rohul Amin, Shah Nazir, Iván García-Magariño 2020

机译：无线传感器网络与物联网非线性时滞积分微分方程数值解的配置方法
7. Septic B-spline collocation method for numerical solution of the coupled Burgers’ equations [O] . Muhannad A. Shallal, Khalid K. Ali, K. R. Raslan, 2019

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8. Numerical Solution of Nonlinear Volterra Integral Equations of the Second Kind by Collocation and Iterated Collocation Methods [R] . Blom, J. G., Brunner, H. 1985

机译：第二类非线性Volterra积分方程的配置和迭代配置方法的数值解

Wavelet collocation method for the numerical solution of Burgers Equation

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