scholarly journals Necessary L2-uniform convergence conditions for difference schemes for two-dimensional convection-diffusion problems

1995 ◽  
Vol 29 (4) ◽  
pp. 45-53 ◽  
Author(s):  
M. Stynes ◽  
L. Tobiska
Keyword(s):  
Uniform Convergence ◽  
Difference Schemes ◽  
Two Dimensional ◽  
Convergence Conditions ◽  
Convection Diffusion ◽  
Diffusion Problems

scholarly journals Analytical and approximate solution of two-dimensional convection-diffusion problems

2020 ◽  
Vol 10 (1) ◽  
pp. 73-77 ◽  
Author(s):  
Hatıra Günerhan
Keyword(s):  
Approximate Solution ◽  
Research Work ◽  
Convergent Series ◽  
Diffusion Equations ◽  
Two Dimensional ◽  
Transform Method ◽  
Convection Diffusion ◽  
Convection Diffusion Equation ◽  
Differential Transform ◽  
Diffusion Problems

In this work, we have used reduced differential transform method (RDTM) to compute an approximate solution of the Two-Dimensional Convection-Diffusion equations (TDCDE). This method provides the solution quickly in the form of a convergent series. Also, by using RDTM the approximate solution of two-dimensional convection-diffusion equation is obtained. Further, we have computed exact solution of non-homogeneous CDE by using the same method. To the best of my knowledge, the research work carried out in the present paper has not been done, and is new. Examples are provided to support our work.

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