Question

Find the length of the curve y = 3 + (x/2) from (0, 3) to (2, 4).

Answer 1

Answer:

First discretize the equation:

d2T/dx2=0

And then, d2T/dx2 + d2T/dy2=0

Boundary condition: at x=0, T=50 oC, at x=L, T=100 oC

at y=0, T=100 oC, at y=L, T=200 oC

Use central difference scheme.

Use the domain: 100 cm X 100 cm

Initially, to start with, use 25 (5X5) nodes/ points to discretize and then solve this domain.

(later, generalize to nXn nodes)

Arrange the equations in penta-diagonal matrix form.

Write a scheme/ algorithm to solve these equations for 9 points in this domain by gauss-siedel iteration method.

Later, generalize to nXn nodes

Answer 2

Answer:

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