Question 22-1. Legendre polynomial can be generated by the recursion formulaga(2) = () zg-1(-) - () -1(2), for n = 2,3,. and go(z) = 1,(2) -z, z € (-1, 1].| 9-2(=2-1-1. Compute the fourth-degree Legendre polynomial ge and find find all its roots.2-1-2. Compute the weights w, i-0, 1,2,3 for the four-point Gaussian rule by a method ofvour choice (metbod of undetermined coefficients or integration of Lagrange polynomi.'s).

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Question 2 2-1. Legendre polynomial can be generated by the recursion formula 2n = (피)% ()z9.-1(7) - (")-(), for n = 2,3,. and go(=) = 1,91(2) – z, z € (-1, 1]. 2-1-1. Compute the fourth-degree Legendre polynomial g, and find find all its roots.

Question 2 2-1. Legendre polynomial can be generated by the recursion formula 2n = (피)% ()z9.-1(7) - (")-(), for n = 2,3,. and go(=) = 1,91(2) – z, z € (-1, 1]. 2-1-1. Compute the fourth-degree Legendre polynomial g, and find find all its roots.

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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