1D Poisson equation with different boundry condition
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Transcript of 1D Poisson equation with different boundry condition
By Majid khan
fx
u
2
2
Parabolic
1. Conduction of heat in bars and solids
2. Diffusion of concentration of liquid or gaseous substance in physical chemistry
3. Diffusion of vorticity in viscous fluid flow
4. Slow motion in hydrodynamics5. Telegraph transmission in cables of
low inductance or capacitance etc
Example
Using (FDM)Solve the 1D poission boundary value problem,
0101,02
2
uuinfx
u
One-dimensional mesh
2xonApproxmatidifferenceCentral
condtionsboundaryDirichletuu
Nifx
uuu
N
iii
0
...2,12
0
211
1.Homogeneous Dirichlet-Neumann BC
(2) Non-homogeneous Dirichlet BC
(3).Non-homogeneous Neumann BC
(4) Non-homogenous Robin BC
Thank you