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Problem 1: Give fx) = sin(0.5x x) that is defined over [0,4] with a step (h) = 1. Solve points (1, 2, 3, and 4) based on divided difference interpolation. (1) The value of the terms ffx1,X2,x3] and f[xo,X1,X2, X3] are respectively: [ (2) The maximum order of the polynomial that we can get is: [ (3) Starting from (x = 1), the error at Pi(0) is: [

Problem 1: Give fx) = sin(0.5x x) that is defined over [0,4] with a step (h) = 1. Solve points (1, 2, 3, and 4) based on divided difference interpolation. (1) The value of the terms ffx1,X2,x3] and f[xo,X1,X2, X3] are respectively: [ (2) The maximum order of the polynomial that we can get is: [ (3) Starting from (x = 1), the error at Pi(0) is: [

Advanced Engineering Mathematics
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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Problem 1: Give fx) = sin(0.5x x) that is defined over [0,4] with a step (h) = 1. Solve points (1, 2, 3, and 4) based on divided difference interpolation. (1) The value of the terms f/x1,X2,x3] and S[x0,X1,X2, X3] are respectively: [ (2) The maximum order of the polynomial that we can get is: [ (3) Starting from (x = 1), the error at Pi(0) is: [ (4) The error of the first derivative of P:(x) at x=1 is: [
Transcribed Image Text:Problem 1: Give fx) = sin(0.5x x) that is defined over [0,4] with a step (h) = 1. Solve points (1, 2, 3, and 4) based on divided difference interpolation. (1) The value of the terms f/x1,X2,x3] and S[x0,X1,X2, X3] are respectively: [ (2) The maximum order of the polynomial that we can get is: [ (3) Starting from (x = 1), the error at Pi(0) is: [ (4) The error of the first derivative of P:(x) at x=1 is: [
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