Repeat 3-5 by using the Steepest Descent Method (the conjugation coefficient y* is null for all iterations), instead of Technique IV. How do the two methods compare with respect to the number of iterations required for convergence?
Solve the inverse of estimating the boundary heat flux q{t) described in by using Technique IV of function estimation. Assume that no information is available on the functional form of g(t), except that it belongs to the space of square integrable functions in the domain 0 < r=””>< 1.=”” use=”” for=”” the=”” inverse=”” analysis=”” 100=”” equally=”” spaced=”” transient=”” measurements=”” in=”” 0=””>< ^=”” 1,=”” of=”” a=”” sensor=”” located=”” at=”” x__=”0.” in=”” order=”” to=”” generate=”” the=”” simulated=”” measurements,=”” utilize=”” the=”” following=”” functional=””>
Use as initial guess a constant function q{t) = 0 and examine the effects o f random measurement errors on the solution.
