4. Find a formula for [rode 1 in terms of the functional values f(x₁) and ƒ(x2), which is exact for linear polynomials. For what values of x₁ or x2 is the discretization formula super- accurate, that is the truncation error is of higher order than expected? What kind of discretization does this correspond to (Forward, Backward, Center etc.)?
4. Find a formula for [rode 1 in terms of the functional values f(x₁) and ƒ(x2), which is exact for linear polynomials. For what values of x₁ or x2 is the discretization formula super- accurate, that is the truncation error is of higher order than expected? What kind of discretization does this correspond to (Forward, Backward, Center etc.)?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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