Poisson Equation

[sward071]

Im having trouble solving a Numerical Integration problem. The Poisson equation given is below:

\(\displaystyle \dfrac{d^2T}{dx^2}\, +\, \dfrac{d^2T}{dy^2}\, =\, 80\, \sqrt{3.0\, -\, x\,}\)

the equation is d^2T/dx^2 + d^2T/dy^2 = 80 sqrt(3.0 - x)

My problem is I have only found the solution to these problems with values equal to 50x, 20y etc. so struggling to find the correct solution to 80.sqrt(3.0-x)

all i want is for the solution for the -h(sqrd).f(x,y) part for a mesh size of 0.5 so basically what i require is the solution for 0.25x80sqrt(3.0-0.5i)

Any help with the steps involved would be very helpful.

THANKS.

 

[sward071]

does the question make since to you guys???????????????

 

[Ishuda]

The Poisson equation given is below:

\(\displaystyle \dfrac{d^2T}{dx^2}\, +\, \dfrac{d^2T}{dy^2}\, =\, 80\, \sqrt{3.0\, -\, x\,}\)

the equation is d^2T/dx^2 + d^2T/dy^2 = 80 sqrt(3.0 - x)

My problem is I have only found the solution to these problems with values equal to 50x, 20y etc. so struggling to find the correct solution to 80.sqrt(3.0-x)

all i want is for the solution for the -h(sqrd).f(x,y) part for a mesh size of 0.5 so basically what i require is the solution for 0.25x80sqrt(3.0-0.5i)

Looks to me like what you have is a PDE where you can solve the homogenous part with separation of variables and the particular part with a straight integration since it is strictly a function of x.