5. Given three unequally spaced points (x, y;), (x;+1» Yi+1) , and (x;+2» Yi+2), use Taylor series expan- sion to develop a finite difference formula to evaluate the first derivative dy/dx at the point x =x; . Verify that when the spacing between these points is equal, the three-point forward difference formula is obtained. The answer should involve y1, Yi+1; and Yi+2:

5. Given three unequally spaced points (x, y;), (x;+1» Yi+1) , and (x;+2» Yi+2), use Taylor series expan- sion to develop a finite difference formula to evaluate the first derivative dy/dx at the point x =x; . Verify that when the spacing between these points is equal, the three-point forward difference formula is obtained. The answer should involve y1, Yi+1; and Yi+2:

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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