- #1
Arkady87
- 1
- 0
I have a project where I need to solve
T''(x) = bT^4 ; 0<=x<=1
T(0) = 1
T'(1) = 0
using finite differences to generate a system of equations in Matlab and solve the system to find the solution
So far I have:
(using centred 2nd degree finite difference)
T''(x) = (T(x+h) - 2T(x) + T(x-h)) / h^2 = bT(x)^4
and
(using 2 order backward difference)
T'(x) = (3T(x) - 4T(x-h) + T(x-2h)) / 2h
I just don't know how to write the code that will make the system of n non-linear equations to solve. I have a function that will solve them if I can get there...
any help or nudge in the right direction is appreciated
T''(x) = bT^4 ; 0<=x<=1
T(0) = 1
T'(1) = 0
using finite differences to generate a system of equations in Matlab and solve the system to find the solution
So far I have:
(using centred 2nd degree finite difference)
T''(x) = (T(x+h) - 2T(x) + T(x-h)) / h^2 = bT(x)^4
and
(using 2 order backward difference)
T'(x) = (3T(x) - 4T(x-h) + T(x-2h)) / 2h
I just don't know how to write the code that will make the system of n non-linear equations to solve. I have a function that will solve them if I can get there...
any help or nudge in the right direction is appreciated