quiz_08ode_finitediff - Multiple-Choice Test Chapter 08.07...

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08.07.1 Multiple-Choice Test Chapter 08.07 Finite Difference Method 1. The exact solution to the boundary value problem 2 2 2 5 . 0 6 x x dx y d = , ( ) 0 0 = y , ( ) 0 12 = y for ( ) 4 y is (A) 67 . 234 (B) 0.00 (C) 16.000 (D) 37.333 2. Given 2 2 2 5 . 0 6 x x dx y d = , ( ) 0 0 = y , ( ) 0 12 = y the value of 2 2 dx y d at ( ) 4 y using the finite difference method and a step size of 4 = h can be approximated by (A) ( ) ( ) 8 0 8 y y (B) ( ) ( ) ( ) 16 0 4 2 8 y y y + (C) ( ) ( ) ( ) 16 4 8 2 12 y y y + (D) ( ) ( ) 4 0 4 y y 3. Given 2 2 2 5 . 0 6 x x dx y d = , ( ) 0 0 = y , ( ) 0 12 = y , the value of ( ) 4 y using the finite difference method with a second order accurate central divided difference method and a step size of 4 = h is (A) 0.000 (B) 37.333 (C) 234.67 (D) 00 . 256
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