scholarly journals An efficient alternating direction implicit finite difference scheme for the three-dimensional time-fractional telegraph equation

2021 ◽  
Vol 102 ◽  
pp. 233-247
Author(s):  
Xuehua Yang ◽  
Wenlin Qiu ◽  
Haixiang Zhang ◽  
Liang Tang
Keyword(s):  
Finite Difference ◽  
Difference Scheme ◽  
Finite Difference Scheme ◽  
Three Dimensional ◽  
Telegraph Equation ◽  
Alternating Direction Implicit ◽  
Alternating Direction ◽  
Implicit Finite Difference Scheme ◽  
Fractional Telegraph Equation ◽  
Implicit Finite Difference

scholarly journals INVESTIGATION OF A COST‐EFFECTIVE FINITE DIFFERENCE SCHEME FOR THE TRANSPORT EQUATION

2003 ◽  
Vol 8 (3) ◽  
pp. 247-258
Author(s):  
D. G. Slugin ◽  
A. V. Popov
Keyword(s):  
Finite Difference ◽  
Difference Scheme ◽  
Transport Equation ◽  
Finite Difference Scheme ◽  
Three Dimensional ◽  
Cost Effective ◽  
Differential Approximation ◽  
Fully Discrete ◽  
Implicit Finite Difference Scheme ◽  
Implicit Finite Difference

The transport equation for three‐dimensional flow of a viscous gas is considered. An implicit finite difference scheme is constructed for approximating the transport equation. The error estimation is proved. The main part of the analysis is done for the first differential approximation of the proposed finite difference scheme, but the results are also valid in the fully discrete case.

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