A Solve Troesch's Equation: Numerical Technique & Derivation

  • A
  • Thread starter Thread starter wasi-uz-zaman
  • Start date Start date
wasi-uz-zaman
Messages
89
Reaction score
1
TL;DR Summary
Troesch's equation explanation
hi, i am going to solve Troesch's equation u′′(x) = λ sinh(λu(x))
by numerical technique, but i couldn't find the derivation of it- kindly anyone knows its derivation or details of variable used.
regards wasi
 
Physics news on Phys.org
Here is an introduction, a solution and a bibliography.
https://www.researchgate.net/publication/253644077_A_general_solution_for_Troesch's_problem/link/55a9969208ae815a04254f47/download
 

Thread 'Stability of persistent currents in superconductors regardless of temperature'

From the BCS theory of superconductivity is well known that the superfluid density smoothly decreases with increasing temperature. Annihilated superfluid carriers become normal and lose their momenta on lattice atoms. So if we induce a persistent supercurrent in a ring below Tc and after that slowly increase the temperature, we must observe a decrease in the actual supercurrent, because the density of electron pairs and total supercurrent momentum decrease. However, this supercurrent...
View full post »

Thread 'Instantaneous dipole moment and orbitals'

Hi. I have got question as in title. How can idea of instantaneous dipole moment for atoms like, for example hydrogen be consistent with idea of orbitals? At my level of knowledge London dispersion forces are derived taking into account Bohr model of atom. But we know today that this model is not correct. If it would be correct I understand that at each time electron is at some point at radius at some angle and there is dipole moment at this time from nucleus to electron at orbit. But how...
View full post »

Similar threads

Python Evolve Computing: Solve Nonlinear Singular DEs
Replies
1
Views
912
A Ground state of the one-dimensional spin-1/2 Ising model
Replies
1
Views
2K
Applied Bibliography on integration and ODE/PDE solving techniques for physics
Replies
12
Views
2K
A Numerical Hartree Fock with Finite Difference Matrices for Helium
Replies
4
Views
2K
I Why Is a Differential Equation Called Nonlinear?
Replies
3
Views
2K
Why heat PDE solution does not fully satisfy initial conditions?
Replies
7
Views
2K
A Solving for a steady-state (passive cable equation)
Replies
4
Views
2K
Question about approximate numerical integration methods
Replies
4
Views
1K
I Categorical vs Numerical Variables
Replies
5
Views
4K
Limit question to be done without using derivatives
Replies
25
Views
1K

Hot Threads

Recent Insights

Back
Top