On an economical difference method for the solution of a multidimensional parabolic equation in an arbitrary region

1963 ◽  
Vol 2 (5) ◽  
pp. 894-926 ◽  
Author(s):  
A.A. Samarskii
Keyword(s):  
Parabolic Equation ◽  
Difference Method ◽  
Arbitrary Region

Research on the Forward Euler Difference Method for Parabolic Equations

2014 ◽  
Vol 998-999 ◽  
pp. 992-995
Author(s):  
You Guo Li ◽  
Yuan Fei Dong
Keyword(s):  
Parabolic Equation ◽  
Numerical Experiment ◽  
Difference Scheme ◽  
Difference Method ◽  
Parabolic Equations ◽  
Convergence And Stability ◽  
Forward Euler ◽  
Theoretical Results

This article is devoted to the forward Euler difference method for the parabolic equation. In this paper, a forward Euler difference scheme is derived. It is shown that the forward Euler difference scheme is convergence and stability. Moreover, a numerical experiment is conducted to illustrate the theoretical results of the presented method.

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