Repeat Exercise 3(a) and (b) using the extrapolation discussed in Example 2 In exercise 3(a) and (b) a y 3y ' 2y 2x 3, 0 curren x curren 1, y(0) 2, y(1) 1 use h 0 1 b y 4x1y ' 2x2y 2x2 ln x, 1 curren x curren 2, y(1) 1 2, y(2) ln 2 use h 0 05 Example 2 The results are listed in Table 11 4 The first...

The Linear FiniteDifference Algorithm with the extrapolation in Example 2 g ...

Repeat Exercise 3(a) and (b) using the extrapolation discussed in Example 2. In exercise 3(a) and (b)

Question:

Repeat Exercise 3(a) and (b) using the extrapolation discussed in Example 2.
In exercise 3(a) and (b)
a. y" = ˆ’3y' + 2y + 2x + 3, 0 ‰¤ x ‰¤ 1, y(0) = 2, y(1) = 1; use h = 0.1.
b. y" = ˆ’4xˆ’1y' + 2xˆ’2y ˆ’ 2xˆ’2 ln x, 1‰¤ x ‰¤ 2, y(1) = ˆ’1 / 2, y(2) = ln 2; use h = 0.05.
Example 2
The results are listed in Table 11.4. The first extrapolation is