scholarly journals A Computational Study with Finite Element Method and Finite Difference Method for 2D Elliptic Partial Differential Equations

2015 ◽  
Vol 06 (12) ◽  
pp. 2104-2124 ◽  
Author(s):  
George Papanikos ◽  
Maria Ch. Gousidou-Koutita
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Partial Differential Equations ◽  
Finite Difference ◽  
Finite Difference Method ◽  
Differential Equations ◽  
Difference Method ◽  
Computational Study ◽  
Elliptic Partial Differential Equations ◽  
Partial Differential

scholarly journals CMMSE: A technique for generating adapted discretizations to solve partial differential equations with the generalized finite difference method

2021 ◽  
Author(s):  
Augusto César Ferreira ◽  
Miguel Ureña ◽  
HIGINIO RAMOS
Keyword(s):  
Partial Differential Equations ◽  
Finite Difference ◽  
Finite Difference Method ◽  
Differential Equations ◽  
Difference Method ◽  
Meshless Method ◽  
Computational Cost ◽  
Partial Differential

The generalized finite difference method is a meshless method for solving partial differential equations that allows arbitrary discretizations of points. Typically, the discretizations have the same density of points in the domain. We propose a technique to get adapted discretizations for the solution of partial differential equations. This strategy allows using a smaller number of points and a lower computational cost to achieve the same accuracy that would be obtained with a regular discretization.

scholarly journals Modelling the Flow of Mass and Energy within a Snowpack for Hydrological Forecasting

1983 ◽  
Vol 4 ◽  
pp. 198-203 ◽  
Author(s):  
E. M. Morris
Keyword(s):  
Partial Differential Equations ◽  
Finite Difference ◽  
Finite Difference Method ◽  
Differential Equations ◽  
Difference Method ◽  
Snow Melt ◽  
Partial Differential ◽  
Hydrological Forecasting ◽  
Using Data

This paper describes a deterministic, distributed snow-melt model which has been developed for the Systeme Hydrologique Européen (SHE), The model is based on partial differential equations describing the flow of mass and energy through the snow. These equations are solved by an implicit, iterative finite-difference method. The behaviour of the model is investigated using data from a sub-Arctic site in Scotland.

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