A fourth-order numerical method for the one-dimensional nonlinear Helmholtz equation with multilayered material

2010 ◽  
Author(s):  
Shenggao Zhou ◽  
Xiaoliang Cheng
Keyword(s):  
Helmholtz Equation ◽  
Numerical Method ◽  
Fourth Order ◽  
One Dimensional ◽  
Multilayered Material ◽  
The One

Inverse scattering for the one-dimensional Helmholtz equation: fast numerical method

2008 ◽  
Vol 33 (18) ◽  
pp. 2101 ◽  
Author(s):  
Oleg V. Belai ◽  
Leonid L. Frumin ◽  
Evgeny V. Podivilov ◽  
David A. Shapiro
Keyword(s):  
Helmholtz Equation ◽  
Numerical Method ◽  
Inverse Scattering ◽  
One Dimensional ◽  
The One

A FDM Solving Method of Large-Strain Consolidation of Multi-Layers Super Soft-Soil

2011 ◽  
Vol 71-78 ◽  
pp. 1880-1884
Author(s):  
Hai Jia Wen ◽  
Jia Lan Zhang
Keyword(s):  
Numerical Method ◽  
Large Strain ◽  
Soft Soil ◽  
Focal Points ◽  
One Dimensional ◽  
Practical Engineering ◽  
K Function ◽  
Soil Foundation ◽  
Soft Soil Foundation ◽  
The One

The aim is to present a numerical method to solve the large-strain consolidation of super soft-soil. The theory of large-strain consolidation (LSC) is acted as the better method for analysis on the consolidation problem of super soft-soil foundation. The focal points are, based on practical engineering, the one-dimensional LSC equations being derived, the consolidation coefficients being inquired and so on. Based on these, one-dimensional nonlinear LSC equation is solved by the FDM, the e~p and e~k function that are according with the practical engineering is introduced into the solving progress, and the multi-layers super soft-soil is also considered in the progress successfully etc. Finally, a case showed the satisfied analysis result by LSCFDM. And some realizations about LSC analysis on super soft-soil are concluded.

scholarly journals Fourth-Order Deferred Correction Scheme for Solving Heat Conduction Problem

2013 ◽  
Vol 2013 ◽  
pp. 1-9 ◽  
Author(s):  
D. Yambangwai ◽  
N. P. Moshkin
Keyword(s):  
Fourth Order ◽  
Heat Conduction Problem ◽  
Correction Method ◽  
Dirichlet Boundary Conditions ◽  
Heat Conducting ◽  
One Dimensional ◽  
Deferred Correction ◽  
The Stability ◽  
The One ◽  
Nicolson Scheme

A deferred correction method is utilized to increase the order of spatial accuracy of the Crank-Nicolson scheme for the numerical solution of the one-dimensional heat equation. The fourth-order methods proposed are the easier development and can be solved by using Thomas algorithms. The stability analysis and numerical experiments have been limited to one-dimensional heat-conducting problems with Dirichlet boundary conditions and initial data.

scholarly journals Inverse scattering for the one-dimensional Helmholtz equation with piecewise constant wave speed

2020 ◽  
Vol 36 (7) ◽  
pp. 075008 ◽  
Author(s):  
Sophia Bugarija ◽  
Peter C Gibson ◽  
Guanghui Hu ◽  
Peijun Li ◽  
Yue Zhao
Keyword(s):  
Helmholtz Equation ◽  
Inverse Scattering ◽  
Wave Speed ◽  
Piecewise Constant ◽  
One Dimensional ◽  
The One
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