Question: Please use the Method of Lines to solve this problem. Thank you! Question 6: Initial Boundary Value Problems The time dependent heat equation is: x22T=tT

Please use the Method of Lines to solve this problem. Thank

Please use the Method of Lines to solve this problem. Thank you!

Question 6: Initial Boundary Value Problems The time dependent heat equation is: x22T=tT Consider a rod of length 1 , that has =1 and is originally heated to a temperature T=1. This rod is placed between two heat baths at fixed temperature Tbath=0, and hence the rod starts cooling down. Using the same approach as we used in the class (the so-called method of lines), calculate the temperature in the center of the rod at 0.1 . Use 3 spatial nodes (x=0.5) and a time step of t=0.1. Use forward Euler method for the time evolution

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