I just implemented the Adomian Decomposition method for my problem in mathematica. It didn't produce answers too much better than the regular old taylor series.
Lots of people have modified the adomian decomposition method to get better results for their specific problem, but being an engineer...
I'm interested in knowing if there are any techniques besides taylor series and picards method to find approximate general solutions to non-linear ordinary differential equations.
I'm not interested in numerical techniques only algebraic approximations.
If one assumes that Newtons inverse square law does not act instantly at a distance, and instead obeys the rules of special relativity does it make similar predictions as general relativity?
Has anybody worked this out? Maybe the result is similar to maxwell's equations.
My background is electrical engineering, but I've recently become fascinated with the principle of least action. I've gone to library to look at a few books on the subject, but I've quickly become overwhelmed.
Is there a good book/video lectures on Lagrangian Mechanics for somebody who...
Has anybody had the change to read, "Hamiltonian and Lagrangian Mechanics A Coloring Book for Young Physicists." by Jame Curry?
https://www.amazon.com/dp/1420858564/?tag=pfamazon01-20
It looks interesting, but there aren't many reviews on amazon yet.
I'm looking for something a little...
I've seen in feynman and on the internet a derivation that the force on a negatively charged particle from neutral current carrying wire can be shown to be purely magnetostatic in one frame of reference and purely electrostatic in the other frame of reference using the length contraction. The...
I kind of see what you are saying from the differential equations, but it is hard to see it qualitatively for me. If I look at a system with 3 conductors placed at 3 different potentials, I can't visualize how the capacitance between two of the three is not changed by the potential of the...
Is there a proof that states that if a system only contains perfect conductors, dielectrics and voltage sources that the capacitance between any two conductors is only geometry dependent?