Solve the time-dependent differential equations given below according to the time iteration methods. You can use a linear element.

Equation Initial Conditions Time Iteration Boundary Conditions u(0,t)=0 u(1,t)=1 u(x,0)=10 02u 2x dx2 a=1 - 6 = 0 dt Equation Initial Conditions Time Iteration Boundary Conditions u(0,t)=0 u(1,t)=1 u(x,0)=10 02u 2x dx2 a=1 - 6 = 0 dt