2. Parabolic PDEs. Consider the Partial Differential Equation (PDE).8²T d.x² ƏT Ət = 0.1- The initial condition is T(x,0) = 10r² and the boundary condition are 7(0, f) = 0 and T(1, 1) = 10. Assume A = 0.1 and Aa = 1/3. Compute the temperature profile for 0 st≤ 0.3 and 0≤x≤1. Present your work as a 2-dimensional table containing values at different times, t and positions a. (a) Forward Time Central Space (b) Fully implicit / Laasonen method

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