Graetz Problem-Shooting Technique

Equation (3.86) is solved with the initial conditions (equations (3.87) and (3.89) using this assumed value of X. Then a new value of X is obtained using the following relationship  

The initial conditions for y2 are obtained by using the differentiating equations (3.86) and (3.88) with respect to X. 

The sensitivity equation is developed by differentiating the governing equation with respect to A,  

There is a removable singularity at X = 0. This is handled by replacing 0 with e = 10- . 

The iteration is performed until the error in X becomes less than le-6  

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