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=λu ¹ ¡ − 1 j + ( 1 − 2λ) u ¡ ¡ + λli+lj This equation models how temperature changes on a 1-D ij +1 beam. This beam has 1 m length and we want to look at 4 points on this beam. We want to observe this beam for 1 sec and we want to look at every 0.01 0 0

=λu ¹ ¡ − 1 j + ( 1 − 2λ) u ¡ ¡ + λli+lj This equation models how temperature changes on a 1-D ij +1 beam. This beam has 1 m length and we want to look at 4 points on this beam. We want to observe this beam for 1 sec and we want to look at every 0.01 0 0

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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ij +1 i-1,j Let u(x,t) be the solution to heat equation : u =λu ¡+ (1 − 2λ) u¸ ‚ + λu This equation models how temperature changes on a 1-D i +1j beam. This beam has 1 m length and we want to look at 4 points on this beam. We want to observe this beam for 1 sec and we want to look at every 0.01 0 0<x<0.5 secs. c=1. The ends of the beam is set to zero temperature at all the times. And the initial temperature distribution is given as: f(x) = 100 0.5<x< 1 Calculate the temperature at point 0.5 at time 0.01 sec. u(0.5,0.01) Round your answer to closest integer.
Transcribed Image Text:ij +1 i-1,j Let u(x,t) be the solution to heat equation : u =λu ¡+ (1 − 2λ) u¸ ‚ + λu This equation models how temperature changes on a 1-D i +1j beam. This beam has 1 m length and we want to look at 4 points on this beam. We want to observe this beam for 1 sec and we want to look at every 0.01 0 0<x<0.5 secs. c=1. The ends of the beam is set to zero temperature at all the times. And the initial temperature distribution is given as: f(x) = 100 0.5<x< 1 Calculate the temperature at point 0.5 at time 0.01 sec. u(0.5,0.01) Round your answer to closest integer.
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