Recent content by fnsaceleanu

Hi, I am trying to solve the complex form of poisson equation ∇[ε(x)∇V(x)] = -1/εo ρ(x) with complex permittivity. If I introduce complex permittivity ε = εr - j σ/(εow), then I must introduce a complex potential ,V = Vr + jVi. That means the charge density, ρ, must also take a complex...

I've done a correction to the exponent that makes the DE nonlinear... It's actually q^(n+2)/((n+1)^2)... this makes it interesting since if n=0.618 or n=-1.618, then the DE is linear... but that n depends on a curve of best fit. Has anyone used numerical methods in Matlab to get the system...

looks like the paper only considers nolinear DE including the first derivative only..

Thanks to those who replied.. looks like linearization via taylor series approximation could work but then i have to linearize about a point, an usually it's the equilibrium. I have found this as well http://www.new.dli.ernet.in/rawdataupload/upload/insa/INSA_2/20005a65_421.pdf Looks...

Thanks for the reply. Once linearized it would be easy to solve with the Laplace transform. I've also read that there are no analytic solution to nonlinear differential equations unless they have specific forms..

Hi, Part of my research, I nondimensionalized an ODE to eventually arrive at this form: sin(τλ) = q^((n+2)/(n+1)) + κq' + q'' where q' = dq/dτ The problem is of course the nonlinear q^n. n is an integer greater than 0. Is there a Laplace transform for this? Or what solutions are there for...

Ok, I can see how to relate the permittivity to the rate of change of voltage and current.. formula for a capacitor, where the capacitance is a function of the permittivity and geometry. Is this what you meant? Also, the loss tangent is the angle between the real permittivity and its...

Thanks for the link Jano. and Eman, could you show me the formula that relates the dielectric constant to the rate of change of current and potential between electrode and ground? (I have the current rate of change and potential difference) I went another way around it, and assumed that...

Hi, I just joined this forums. I'm currently doing my master thesis in mechanical engineering, however, my topic is related to plasma physics. As part of my results, I need to simulate an audio frequency electric discharge in a spark plug in air, in Ansys HFSS software. The discharge is...