On the error estimate of finite difference method for the obstacle problem

2006 ◽  
Vol 183 (1) ◽  
pp. 416-422 ◽  
Author(s):  
Xiao-liang Cheng ◽  
Lian Xue
Keyword(s):  
Finite Difference ◽  
Finite Difference Method ◽  
Error Estimate ◽  
Difference Method ◽  
Obstacle Problem

scholarly journals Chebyshev Collocation Method for Parabolic Partial Integrodifferential Equations

2016 ◽  
Vol 2016 ◽  
pp. 1-7 ◽  
Author(s):  
M. Sameeh ◽  
A. Elsaid
Keyword(s):  
Finite Difference ◽  
Finite Difference Method ◽  
Error Estimate ◽  
Collocation Method ◽  
Integrodifferential Equation ◽  
Chebyshev Polynomials ◽  
Difference Method ◽  
A Priori ◽  
Chebyshev Collocation Method ◽  
Partial Integrodifferential Equation

An efficient technique for solving parabolic partial integrodifferential equation is presented. This technique is based on Chebyshev polynomials and finite difference method.A priorierror estimate for the proposed technique is deduced. Some examples are presented to illustrate the validity and efficiency of the presented method.

HEAT TRANSFER IN LARGE RUBBER ELEMENTS THROUGH OF MODELING BY FINITE DIFFERENCE METHOD

2019 ◽  
Author(s):  
Lucas Peixoto ◽  
Ane Lis Marocki ◽  
Celso Vieira Junior ◽  
Viviana Mariani
Keyword(s):  
Heat Transfer ◽  
Finite Difference ◽  
Finite Difference Method ◽  
Difference Method

Weighted Finite Difference and Boundary Element Methods Applied to Groundwater Pollution Problems

1991 ◽  
Vol 23 (1-3) ◽  
pp. 517-524
Author(s):  
M. Kanoh ◽  
T. Kuroki ◽  
K. Fujino ◽  
T. Ueda
Keyword(s):  
Boundary Element Method ◽  
Finite Difference ◽  
Finite Difference Method ◽  
Boundary Element ◽  
Difference Method ◽  
Groundwater Pollution ◽  
Small Region ◽  
Boundary Element Methods ◽  
Computational Time ◽  
Element Method

The purpose of the paper is to apply two methods to groundwater pollution in porous media. The methods are the weighted finite difference method and the boundary element method, which were proposed or developed by Kanoh et al. (1986,1988) for advective diffusion problems. Numerical modeling of groundwater pollution is also investigated in this paper. By subdividing the domain into subdomains, the nonlinearity is localized to a small region. Computational time for groundwater pollution problems can be saved by the boundary element method; accurate numerical results can be obtained by the weighted finite difference method. The computational solutions to the problem of seawater intrusion into coastal aquifers are compared with experimental results.

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