scholarly journals An efficient finite difference scheme for three-dimensional, non-equilibrium flows using operator splitting

1991 ◽  
Vol 21 (2-3) ◽  
pp. 29-38 ◽  
Author(s):  
P. Glaister
Keyword(s):  
Finite Difference ◽  
Difference Scheme ◽  
Finite Difference Scheme ◽  
Operator Splitting ◽  
Three Dimensional ◽  
Non Equilibrium

scholarly journals Comparative analysis of the numerical methods for 3D continuation problem for parabolic equation with data on the part of the boundary

2021 ◽  
Vol 2092 (1) ◽  
pp. 012010
Author(s):  
Aleksei Prikhodko ◽  
Maxim Shishlenin
Keyword(s):  
Inverse Problem ◽  
Comparative Analysis ◽  
Parabolic Equation ◽  
Numerical Methods ◽  
Finite Difference ◽  
Difference Scheme ◽  
Gradient Method ◽  
Finite Difference Scheme ◽  
Three Dimensional ◽  
Continuation Problem

Abstract The problem of continuation of the solution of a three-dimensional parabolic equation with data given on a time-like surface is investigated. Two numerical methods for solving the continuation problem are compared: the finite-difference scheme inversion and the solution of inverse problem by gradient method. The functional gradient formula is obtained. The results of numerical calculations are presented.

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