Consider the boundary-value problem (a) Note that the initial temperature u(x, 0) x

Chapter 15, Problem 3

(choose chapter or problem)

Consider the boundary-value problem (a) Note that the initial temperature u(x, 0) x indicates that the temperature at the right boundary x 1 should be u(1, 0) 1, whereas the boundary conditions imply that u(1, 0) 0. Write a computer program for the explicit finite difference method so that the boundary conditions prevail for all times considered, including t 0. Use the program to complete Table 15.9. (b) Modify your computer program so that the initial condition prevails at the boundaries at t 0. Use this program to complete Table 15.10. (c) Are Tables 15.9 and 15.10 related in any way? Use a larger time interval if necessary.

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