Parabolic Equations: Time‐Dependent Diffusion Problems

2018 ◽  
pp. 383-447
Author(s):  
Saad A. Ragab ◽  
Hassan E. Fayed
Keyword(s):  
Parabolic Equations ◽  
Time Dependent ◽  
Diffusion Problems

An Algorithm for the Solution of Impurity Diffusion under Finite Reaction Rates

1982 ◽  
Vol 37 (8) ◽  
pp. 931-938 ◽  
Author(s):  
K. Lackner ◽  
K. Behringer ◽  
W. Engelhardt ◽  
R. Wunderlich
Keyword(s):  
Stability Analysis ◽  
Reaction Rates ◽  
Computational Effort ◽  
Unconditional Stability ◽  
Impurity Diffusion ◽  
Time Dependent ◽  
Recombination Rates ◽  
Fast Solution ◽  
Analytic Stability ◽  
Diffusion Problems

An algorithm allowing a fast solution of stationary and time dependent 1-d diffusion problems for the case of finite ionization and recombination rates is presented. Results of numerical computations and an analytic stability analysis show its unconditional stability. The computational effort involved rises only linearly with the number of ionization stages included. An application to the diffusion of oxygen and iron impurities in JET is described

scholarly journals On the Product of One-Parametric Semigroups of Operators as the Solution of Certain Time-Dependent Parabolic Equations

1996 ◽  
Vol 200 (2) ◽  
pp. 418-436
Author(s):  
Sándor Molnár ◽  
Ferenc Szigeti ◽  
Ferenc Szidarovszky ◽  
J.Carrera Ramirez
Keyword(s):  
Parabolic Equations ◽  
Time Dependent ◽  
Semigroups Of Operators
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