The Lax and Phillips Formalism for the Transport Problems

2021 ◽  
pp. 85-98
Author(s):  
Hassan Emamirad
Keyword(s):  
Transport Problems

A CLASS OF TRANSPORT PROBLEMS IN STATISTICAL MIXTURES WITH SCATTERING

1988 ◽  
Vol 49 (C7) ◽  
pp. C7-321-C7-329
Author(s):  
F. MALVAGI ◽  
G. C. POMRANING
Keyword(s):  
Transport Problems

A New Numerical Method for Solving Nonlinear Fractional Fokker–Planck Differential Equations

2017 ◽  
Vol 12 (5) ◽  
Author(s):  
BeiBei Guo ◽  
Wei Jiang ◽  
ChiPing Zhang
Keyword(s):  
Approximate Solution ◽  
Differential Equations ◽  
Reproducing Kernel ◽  
Numerical Solutions ◽  
Simple Algorithm ◽  
High Accuracy ◽  
Computational Work ◽  
Reproducing Kernel Theory ◽  
Transport Problems ◽  
Fokker Planck

The nonlinear fractional-order Fokker–Planck differential equations have been used in many physical transport problems which take place under the influence of an external force filed. Therefore, high-accuracy numerical solutions are always needed. In this article, reproducing kernel theory is used to solve a class of nonlinear fractional Fokker–Planck differential equations. The main characteristic of this approach is that it induces a simple algorithm to get the approximate solution of the equation. At the same time, an effective method for obtaining the approximate solution is established. In addition, some numerical examples are given to demonstrate that our method has lesser computational work and higher precision.

SUPG and discontinuity-capturing methods for coupled fluid mechanics and electrochemical transport problems

2012 ◽  
Vol 51 (2) ◽  
pp. 171-185 ◽  
Author(s):  
Pablo A. Kler ◽  
Lisandro D. Dalcin ◽  
Rodrigo R. Paz ◽  
Tayfun E. Tezduyar
Keyword(s):  
Fluid Mechanics ◽  
Transport Problems ◽  
Electrochemical Transport
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