scholarly journals Local and blowing-up solutions for an integro-differential diffusion equation and system

2021 ◽  
Vol 148 ◽  
pp. 111041
Author(s):  
Meiirkhan Borikhanov ◽  
Berikbol T. Torebek
Keyword(s):  
Diffusion Equation ◽  
Differential Diffusion ◽  
Blowing Up ◽  
Blowing Up Solutions

Numerical Solution of the Differential Diffusion Equation for a Steel Carburizing Process

2018 ◽  
Vol 284 ◽  
pp. 1230-1234
Author(s):  
Mikhail V. Maisuradze ◽  
Alexandra A. Kuklina
Keyword(s):  
Diffusion Equation ◽  
Numerical Solution ◽  
Differential Diffusion ◽  
One Dimensional ◽  
The Third ◽  
Dimensional Diffusion ◽  
Simplified Algorithm ◽  
The One ◽  
Carburizing Process ◽  
Precise Assessment

The simplified algorithm of the numerical solution of the differential diffusion equation is presented. The solution is based on the one-dimensional diffusion model with the third kind boundary conditions and the finite difference method. The proposed approach allows for the quick and precise assessment of the carburizing process parameters – temperature and time.

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