Specify c_1, co, C and p such that the formula c_1u(8 - h) + cou(s) + cu(s+h) hP u (s) 2 denotes the forward finite difference for the first derivative of u with step size h. Use decimal notation to enter any fractions. Enter c_1: Enter Co: Enter C1: Enter p.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Question 2.
Specify c_1, Co, C1 and p such that the formula
c_1u(s - h) +cqu(s) + cju(s + h)
u'(s)
denotes the forward finite difference for the first derivative of u with step size h.
Use decimal notation to enter any fractions.
Enter c_1:
Enter Co:
Enter C1:
Enter p
Transcribed Image Text:Question 2. Specify c_1, Co, C1 and p such that the formula c_1u(s - h) +cqu(s) + cju(s + h) u'(s) denotes the forward finite difference for the first derivative of u with step size h. Use decimal notation to enter any fractions. Enter c_1: Enter Co: Enter C1: Enter p
Given the formula
g(2 + k) - 2g(z) + g(x – k)
g" (x) =
1.
+g) + O(k)
use the Taylor series
g(x + k) = g(x) + kg'(x) + 21 g"(x) +..+
ni glm) () + O(k+1)
to determine the integer values of c, p, q and r. (Note that integer values can be positive, negative or zero. Do not forget to include the
minus sign for any negative values.)
Enter c:
Enter p:
Enter q
Activate Windows
Enter r:
Transcribed Image Text:Given the formula g(2 + k) - 2g(z) + g(x – k) g" (x) = 1. +g) + O(k) use the Taylor series g(x + k) = g(x) + kg'(x) + 21 g"(x) +..+ ni glm) () + O(k+1) to determine the integer values of c, p, q and r. (Note that integer values can be positive, negative or zero. Do not forget to include the minus sign for any negative values.) Enter c: Enter p: Enter q Activate Windows Enter r:
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