Folks,
I am struggling to get the initial conditions @ t=0 for p and q.
Given for on
My attempt:
Parameterise x such that and and differentiate the given IC
This gives
Not sure if this right or how to proceed further to find pand q?
Thanks
Folks,
I am struggling to get the initial conditions @ t=0 for p and q.
Given for on
My attempt:
Parameterise x such that and and differentiate the given IC
This gives
Not sure if this right or how to proceed further to find pand q?
Thanks
So now you have one equation
.
Your second equation is the PDE itself .
Two equations for two unknowns. Now solve for and .
BTW - what do you mean @ . There's no in this problem.
Because of the symmetry of the BC, I might also suggest switching to polar coordinates.
Maybe I should clarify that in this problem we have u=0 when x^2+y^2=1. These are the IC's I take at t=0. I hope that makes sense. This is the approach I take for all other charpit problems based on my notes.