Help with solution of legendre's diffrential equation.

  • Thread starter Thread starter A Dhingra
  • Start date Start date
  • Tags Tags
    Diffrential
A Dhingra
Messages
211
Reaction score
1
Physics news on Phys.org
No, there is nothing at all wrong with that. But there are many different ways of solving the same differential equation.
 
Okay...thanks.
 

Thread 'Volterra equation of the second kind'

There is the following linear Volterra equation of the second kind $$ y(x)+\int_{0}^{x} K(x-s) y(s)\,{\rm d}s = 1 $$ with kernel $$ K(x-s) = 1 - 4 \sum_{n=1}^{\infty} \dfrac{1}{\lambda_n^2} e^{-\beta \lambda_n^2 (x-s)} $$ where $y(0)=1$, $\beta>0$ and $\lambda_n$ is the $n$-th positive root of the equation $J_0(x)=0$ (here $n$ is a natural number that numbers these positive roots in the order of increasing their values), $J_0(x)$ is the Bessel function of the first kind of zero order. I...
View full post »

Thread 'Visual Representation of Separation of Varables'

Are there any good visualization tutorials, written or video, that show graphically how separation of variables works? I particularly have the time-independent Schrodinger Equation in mind. There are hundreds of demonstrations out there which essentially distill to copies of one another. However I am trying to visualize in my mind how this process looks graphically - for example plotting t on one axis and x on the other for f(x,t). I have seen other good visual representations of...
View full post »

Similar threads

Confusion about series solutions to differential equations
Replies
10
Views
3K
A Searching for radial part solution of Klein-Gordon type equation
Replies
1
Views
1K
Techniques for Solving Equations with Irregular Singular Points
Replies
2
Views
4K
Completeness of Legendre Polynomials
Replies
3
Views
6K
Few questions about series solution of ODEs
Replies
1
Views
2K
A Solution to a differential equation with variable coefficients
Replies
6
Views
2K
Laplace's Equation,Boundary Conditions Etc.
Replies
1
Views
4K
Solving associated Legendre equation
Replies
1
Views
4K
MHB Solving Regular Singularities with Frobenius Expansion: Series Solution Question
Replies
10
Views
3K
Is the Frobenius Method Required at Each Singular Point for General Solutions?
Replies
3
Views
2K

Hot Threads

Recent Insights

Back
Top