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MATLAB Mathematics - SERC - Index of

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5 Differential Equations<br />

hold <strong>of</strong>f<br />

The example prints<br />

Value computed using infinity = 4 is 0.92774.<br />

Value computed using infinity = 5 is 0.92770.<br />

Value computed using infinity = 6 is 0.92770.<br />

Note that the values approach 0.92768 as reported by Cebeci and Keller. The<br />

superimposed plots confirm the consistency <strong>of</strong> the solution’s behavior.<br />

Falkner−Skan equation, positive wall shear, β = 0.5.<br />

1.2<br />

1<br />

0.8<br />

df/dη<br />

0.6<br />

0.4<br />

0.2<br />

0<br />

0 1 2 3 4 5 6<br />

η<br />

Solving Singular BVPs<br />

The function bvp4c solves a class <strong>of</strong> singular BVPs <strong>of</strong> the form<br />

y′ =<br />

1<br />

--Sy +<br />

x<br />

0 = gy0<br />

f( x,<br />

y)<br />

( ( ),<br />

yb ( ))<br />

(5-2)<br />

5-80

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