ee231_ass10_sol - 17.5 (a) Analytical solution: [ ] 79124 ....

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Unformatted text preview: 17.5 (a) Analytical solution: [ ] 79124 . ) 33333 . 1 ( 54209 . 33333 . 1 2 6 . 5 . 1 0.6 5 . 1 = = = x x e dx e (b) Trapezoidal rule 79284 . 2 8131 . 9808 . ) 475 . 6 . ( 2 9808 . 1831 . 1 ) 35 . 475 . ( 2 1831 . 1 3746 . 1 ) 25 . 35 . ( 2 3746 . 1 597 . 1 ) 15 . 25 . ( 2 597 . 1 8555 . 1 ) 05 . 15 . ( 2 8555 . 1 2 ) 05 . ( = + + + + + + + + + + + = I % 2022 . % 100 79124 . 79284 . 79124 . = = t (c) Trapezoidal/Simpsons rules 791282 . 6 8131 . ) 9808 . ( 4 1831 . 1 ) 35 . 6 . ( 8 1831 . 1 ) 3746 . 1 597 . 1 ( 3 8555 . 1 ) 05 . 35 . ( 2 8555 . 1 2 ) 05 . ( = + + + + + + + + = I % 0052 . % 100 79124 . 791282 . 79124 . = = t EE 231_B1 Numerical Analysis for Electrical and Computer Engineering Course Instructor: Dr. Sergiy Vorobyov Solutions to Assignment 10 18.3 Although its not required, the analytical solution can be evaluated simply as [ ] 5 41.1710738 ) 1 ( 3 3 = = = x e dx xe I x x (a) The tableau depicting the implementation of Romberg integration to...
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This note was uploaded on 12/20/2010 for the course E E 231 taught by Professor Vorobyov during the Spring '10 term at University of Alberta.

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ee231_ass10_sol - 17.5 (a) Analytical solution: [ ] 79124 ....

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