Unformatted text preview: x 6 = 3. Check that Ax = b . 3. The purpose of this problem is to set up and solve a larger version of the heat transfer problem considered in problems 33 and 34 in Section 1.1. Suppose there are 16 instead of 4 interior nodes, arranged in a 4 × 4 lattice. Assume in addition 4 nodes on each edge, with temperatures of 10 on the left boundary, 20 at the top, 40 on the right, and 30 on the bottom. The equations are that each temperature is the average of its four neighbors. Set up the equations and solve them using Matlab. You can number the nodes anyway you like, but you should obtain a system of 16 equations in 16 unknowns. Draw the lattice and write down the temperature at each node to at least 4 digits of accuracy. What are the maximum and minimum temperatures and where do they occur? 1...
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This note was uploaded on 04/05/2010 for the course MATH 3353 taught by Professor Hagstrom during the Fall '09 term at Southern Methodist.
 Fall '09
 Hagstrom
 Linear Algebra, Algebra, matlab, Matrices

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