scholarly journals Solving a Non-Linear Partial Differential Equation for the Simulation of Tumour Oxygenation

2012 ◽  
Vol 5 ◽  
pp. 128-147
Author(s):  
Julian Kollermeier ◽  
◽  
Thorsten Lajewski ◽  
Lisa Kusch
Keyword(s):  
Differential Equation ◽  
Partial Differential Equation ◽  
Linear Partial Differential Equation ◽  
Partial Differential ◽  
Non Linear ◽  
Tumour Oxygenation

Cauchy's Problem in a Non-Linear Partial Differential Equation of Hyperbolic Type

1935 ◽  
Vol 31 (2) ◽  
pp. 195-202 ◽  
Author(s):  
M. Raziuddin Siddiqi
Keyword(s):  
Differential Equation ◽  
Partial Differential Equation ◽  
Boundary Conditions ◽  
Linear Partial Differential Equation ◽  
Positive Function ◽  
Hyperbolic Type ◽  
Partial Differential ◽  
Non Linear ◽  
Image Position

Let p (x) be an essentially positive function defined in the interval 0 ≤ x ≤ π. We consider the non-linear partial differential equationfor the boundary conditions u (x, t) = 0,for x = 0 and x = π,

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