Virtual Labs

\frac{\partial^2 T}{\partial x^2} + \frac{\partial^2 T}{\partial y^2} = 8(x^2+y^2+10) = f(x, y)

Find the value of T1. Boundry conditions are given as:
The temperature of all four surfaces are 0^oC.
Given that,
l=3, w=3. Take h=1 and k=1.

a: T1 = 68.10, T2 = 56.01, T3 = 44.00, T4 = 80.00 Explanation

Explanation

b: T1 = 60.00, T2 = 66.00, T3 = 54.00, T4 = 60.00 Explanation

Explanation

c: T1 = 50.00, T2 = 61.00, T3 = 34.50, T4 = 40.33 Explanation

Explanation

d: T1 = 68.30, T2 = 55.70, T3 = 76.73, T4 = 60.00 Explanation

Explanation

\frac{\partial^2 T}{\partial x^2} + \frac{\partial^2 T}{\partial y^2} = -11(x^2+y^2+10) = f(x, y)

Find the value of T1. Boundry conditions are given as:
The temperature of all four surfaces are 0^oC.
Given that,
l=3, w=3. Take h=1 and k=1.

a: T1 = 77.50, T2 = 79.75, T3 = 74.25, T4 = 92.50 Explanation

Explanation

b: T1 = 92.45, T2 = 70.32, T3 = 79.25, T4 = 88.50 Explanation

Explanation

c: T1 = 80.50, T2 = 95.00, T3 = 54.15, T4 = 62.20 Explanation

Explanation

d: T1 = 82.50, T2 = 90.75, T3 = 74.25, T4 = 82.50 Explanation

Explanation

Elliptical equation-possion equation