Differential Equations Lecture Work Solutions 313

Differential Equations Lecture Work Solutions 313 - in the...

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9.3.1 Implicit method 9.3.2 DuFort Frankel method 9.3.3 Crank-Nicolson method 9.3.4 Theta ( θ )method 9.3.5 An example 9.3.6 Unbounded Region - Coordinate Transformation 9.4 Two Dimensional Heat Equation 9.4.1 Explicit 9.4.2 Crank Nicolson 9.4.3 Alternating Direction Implicit Problems 1. Apply the ADI scheme to the 2-D heat equation and fnd u n +1 at the internal grid points
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Unformatted text preview: in the mesh shown in fgure 60 For r x = r y = 2 . The initial conditions are u n = 1 − x 3∆ x along y = 0 u n = 1 − y 2∆ y along x = 0 u n = 0 everywhere else and the boundary conditions remain fxed at their initial values. x y i=1 2 3 4 j=1 2 3 ±igure 60: domain For problem 1 section 9.4.2 313...
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This note was uploaded on 12/22/2011 for the course MAP 2302 taught by Professor Bell,d during the Fall '08 term at UNF.

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