- #1
kubekas
- 10
- 0
I am having a problem coding a Matlab code that solves a second ODE equation which I give below:
x^3*(1-2*x*M)d^2J(x)/dx^2+2*(2*x^2+i*nu*x-7*x^3*M)*dJ(x)/dx
-2*(2*x+8*M*x^2+i*nu)*J(x)=0.
where
M = 1 (Mass of a black hole),
nu = 0.74734+0.17792*i,
J is a function of x,
i represents a complex number.
This equation is very complex to solve. Fistly I tried the Matlab shooting
method and it did not work because this equation is singular at the boundries i.e
0 and 1. Now I am trying to solve it using Matlab Finite Difference Method. I must point out that this problem has no analytic solution and we hope that it can be solved numerically.
Can anyone out there help me with this problem.
Thanks
Amos
x^3*(1-2*x*M)d^2J(x)/dx^2+2*(2*x^2+i*nu*x-7*x^3*M)*dJ(x)/dx
-2*(2*x+8*M*x^2+i*nu)*J(x)=0.
where
M = 1 (Mass of a black hole),
nu = 0.74734+0.17792*i,
J is a function of x,
i represents a complex number.
This equation is very complex to solve. Fistly I tried the Matlab shooting
method and it did not work because this equation is singular at the boundries i.e
0 and 1. Now I am trying to solve it using Matlab Finite Difference Method. I must point out that this problem has no analytic solution and we hope that it can be solved numerically.
Can anyone out there help me with this problem.
Thanks
Amos