Recent content by pangyatou

Thanks Mathman! What theory or property can be applied to this problem? I don't even have a clue. Really appreciate.

Hi, There are three variables ax, ay and az, my question is: How to simplify the mean value <(ax^2+ay^2+az^2)^(1/2)> to <|ax|> ? What assumptions are required during the simplification? The statistical property of ax, ay and az is <ax^2>=<ay^2>=<az^2>. The assumption of the propability...

I use separation variable: u(x,t)=F(η)T(t): η=sqrt(a/D) x Then obtain the following 2 ODEs: (1)T'+a λ T=0 (2)F"+η F'+λ F=0 How to solve the second ODE?

What method can I use to analytically solve the following 2nd order PDE? u=u(x,t) ∂u/∂t - a*x*∂u/∂x-D*∂^{2}u/∂t^{2} = 0 I.C.: u(x,t=0)=u_i B.C.: u(x=+∞)=0 u(x=-∞)=1 Is self-similar the only way to solve it, or is there any other method can be used to solve it? How to set the...