+ c Consider the problem of a temperature discontinuity of a fluid propagating along a one-dimensional pipeline by a constant velocity c = -0.8 m/s. The temperature discontinuity enters our system at time t = 0 in the form of a sudden jump in temperature at the right boundary, from 0C to 1000C. This problem can be accurately modeled by the linear advection equation T OT = 0, at ac (2) where c is the advection velocity. The initial condition is T(3,0) = 0C for 05. 0. a) As the problems we look at get more complex, it is a good idea to be sure that you understand the posed problem well before you start programming. To ensure that the problem is understood, state the analytical solution and why there is no boundary condition given at the left boundary