The Solution of Non-linear Diffusion Equation under Stochastic Nonhomogeneity Using Symbolic WHEP and Pickard Algorithms

2010 ◽  
pp. 75-100 ◽  
Author(s):  
Magdy A. El-Tawil ◽  
Noha A. Al-Mulla
Keyword(s):  
Diffusion Equation ◽  
Linear Diffusion ◽  
Non Linear

scholarly journals Asymmetric bifurcation

1980 ◽  
Vol 21 (3) ◽  
pp. 297-304 ◽  
Author(s):  
S. Rosenblat
Keyword(s):  
Diffusion Equation ◽  
Initial Value Problem ◽  
Multiple Scales ◽  
Method Of Multiple Scales ◽  
Initial Value ◽  
Linear Diffusion ◽  
Non Linear ◽  
Bifurcation And Stability

AbstractA study is made of a non-linear diffusion equation which admits bifurcating solutions in the case where the bifurcation is asymmetric. An analysis of the initial-value problem is made using the method of multiple scales, and the bifurcation and stability characteristics are determined. It is shown that a suitable interpretation of the results can lead to determination of the choice of the bifurcating solution adopted by the system.

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