scholarly journals Highly anisotropic nonlinear temperature balance equation and its numerical solution using asymptotic-preserving schemes of second order in time

2014 ◽  
Vol 48 (6) ◽  
pp. 1701-1724 ◽  
Author(s):  
Alexei Lozinski ◽  
Jacek Narski ◽  
Claudia Negulescu
Keyword(s):  
Numerical Solution ◽  
Balance Equation ◽  
Second Order ◽  
Asymptotic Preserving ◽  
Asymptotic Preserving Schemes ◽  
Nonlinear Temperature ◽  
Second Order In Time

scholarly journals On the numerical solution of a singular second-order thermoelastic system

2017 ◽  
Vol 9 (5) ◽  
pp. 168781401770300
Author(s):  
Said Mesloub ◽  
Saleem Obaidat
Keyword(s):  
Numerical Solution ◽  
Second Order

Numerical solution of a source identification problem: Almost coercivity

2019 ◽  
Vol 27 (4) ◽  
pp. 457-468 ◽  
Author(s):  
Allaberen Ashyralyev ◽  
Abdullah Said Erdogan ◽  
Ali Ugur Sazaklioglu
Keyword(s):  
Numerical Solution ◽  
Source Identification ◽  
Identification Problem ◽  
Second Order ◽  
Numerical Results ◽  
Difference Schemes ◽  
Stability Estimates ◽  
Order Of Accuracy ◽  
Accuracy Difference ◽  
Coercive Stability

Abstract The present paper is devoted to the investigation of a source identification problem that describes the flow in capillaries in the case when an unknown pressure acts on the system. First and second order of accuracy difference schemes are presented for the numerical solution of this problem. Almost coercive stability estimates for these difference schemes are established. Additionally, some numerical results are provided by testing the proposed methods on an example.

The Temporal Evolution of Particle Population Involving Simultaneous Coagulation, Diffusion Deposition, Gravity Sedimentation and Ventilation in the Fixed Space

2012 ◽  
Vol 516-517 ◽  
pp. 813-816
Author(s):  
Juan Fu ◽  
Zhi Ning ◽  
Yun Chao Song ◽  
Ming Lv
Keyword(s):  
Numerical Solution ◽  
Dynamic Behavior ◽  
Balance Equation ◽  
Temporal Evolution ◽  
Population Balance Equation ◽  
Small Particles ◽  
Science And Engineering ◽  
Particle Population ◽  
Fixed Space ◽  
Gravity Sedimentation

The dynamic behavior of small particles in fixed spaces is of interest in various fields of science and engineering. In the paper, a population balance equation for particles in fixed space is established to describe the dynamic behavior of system involving simultaneous coagulation, diffusion deposition, gravity sedimentation and ventilation. Related Parameters are decided by experiments for the convenience of achieving numerical solution of the equation. Finally, the temporal evolution of particles population in fixed space is simulated and discussed under different conditions.

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