Differential Equations Lecture Work Solutions 334

Differential Equations Lecture Work Solutions 334 - (1) = u...

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u 3 2 = 542 484 1 . 1198 u 3 3 1 . 7355 The next time step n =4,wehave u 4 2 1 . 1970 u 4 3 1 . 8653 Thenextt imestep n =5,wehave u 5 2 1 . 2205 u 5 3 1 . 9053 Thenextt imestep n =6,wehave u 6 2 1 . 2276 u 6 3 1 . 9176 Analytic steady state solution: cu x = µu xx u (0) = 1 u (3) = 4 u =1+ 3 1 e 3 (1 e x )
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Unformatted text preview: (1) = u 2 1 . 2701 u (2) = u 3 2 . 0043 We are getting there, it may require few more steps. Since the method is unconditionally stable, we can choose a larger time step. 334...
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