"5" src="hw_5_6_5_17.png" alt=""> <img vspace="5" hspace="5" src="hw_5_6_5_18.png" alt=""> <p class="footer"><br><a href="http://www.mathworks.com/products/matlab/">Published with MATLAB&reg; R2015b</a><br></p></div><!--
##### SOURCE BEGIN #####
%% HW 5.6.5
%% Initial-boundary-value Problem
% * $v_t + v_x = 0, x \in (0, 1), t > 0$
% * $v(x, 0) = \sin^{80} \pi x, x \in [0, 1]$
% * $v(0, t) = v(1, t), t \geq 0$
% * One Analytic Solution: $v = \sin^{80} (\pi (x - t))$
%%%
%% Numerical Solution
%%%
ts = [0.0, 0