Recent content by Graham Power
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Graduate Method of Characteristics for Hyperbolic PDE
I am trying to build a program in Matlab to solve the following hyperbolic PDE by the method of characteristics ∂n/∂t + G(t)∂n/∂L = 0 with the inital and boundary conditions n(t,0)=B(t)/G(t) and n(0,L)=ns Here ns is an intial distribution (bell curve) but I don't have a function to...- Graham Power
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- Hyperbolic Method Pde
- Replies: 1
- Forum: Differential Equations
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Method of characteristics for population balance equation
Thanks for the reply. I know that the characteristic equations for this PDE are: ∂n/∂s=0 (1) ∂L/∂s=G (2) ∂t/∂s=1 (3) Solving the above: n=n0 (4) t=s (5) L=Gt+L0 (6) From what I can see, the...- Graham Power
- Post #3
- Forum: Calculus and Beyond Homework Help
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Method of characteristics for population balance equation
Homework Statement The PDE: ∂n/∂t + G∂n/∂L=0 The initial condition: n(0,L)=ns The boundary condition: n(t,0)=B/G The parameter B and G above are dependent upon process conditions and change at each time. They can be calculated with adequate experimental data. Homework Equations...- Graham Power
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- Balance Method population
- Replies: 2
- Forum: Calculus and Beyond Homework Help