scholarly journals Theory and Application of the Generalized Integral Representation Method (GIRM) in Advection Diffusion Problem

2014 ◽  
Vol 3 (4) ◽  
pp. 137 ◽  
Author(s):  
H. Isshiki
Keyword(s):  
Integral Representation ◽  
Diffusion Problem ◽  
Advection Diffusion ◽  
Representation Method

Numerical Solution of Two-Dimensional Advection–Diffusion Equation Using Generalized Integral Representation Method

2017 ◽  
Vol 14 (01) ◽  
pp. 1750028 ◽  
Author(s):  
Gantulga Tsedendorj ◽  
Hiroshi Isshiki
Keyword(s):  
Diffusion Equation ◽  
Integral Representation ◽  
Approximate Solutions ◽  
Two Dimensional ◽  
Dimensional Problem ◽  
Infinite Domain ◽  
Advection Diffusion Equation ◽  
Advection Diffusion ◽  
Representation Method ◽  
Advective Diffusion

Generalized integral representation method (GIRM) is designed to numerically solve initial and boundary value problems for differential equations. In this work, we develop numerical schemes based on 1- and 2-step GIRMs for evaluation of the two-dimensional problem of advective diffusion in an infinite domain. Accurate approximate solutions are obtained in both cases of GIRM and compared to the exact ones. The derivation of GIRM is straightforward and implementation is simple.

A Numerical Method for a Non-Smooth Advection-Diffusion Problem Arising in Sand Mechanics

2009 ◽  
Vol 8 (1) ◽  
pp. 161-178 ◽  
Author(s):  
Alexandre Caboussat ◽  
◽  
Roland Glowinski
Keyword(s):  
Numerical Method ◽  
Diffusion Problem ◽  
Advection Diffusion
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