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A note on the solution of a differential equation arising in boundary-layer theory

โœ Scribed by J. H. Merkin

Publisher
Springer
Year
1984
Tongue
English
Weight
255 KB
Volume
18
Category
Article
ISSN
0022-0833

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โœฆ Synopsis

The differential equation f ' " + i f " + ~kf '2 = 0 (where dashes denote differentiation with respect to the independent variable 7/) subject to the boundary conditions f(0) = 0, f'(oo) = 0 and either f'(0) = 1 or f"(0) = -1 is considered. It is shown that by using p -= f ' as dependent variable and q , = C -f (where C =f(oo)) as independent variable and then expanding in powers of q~, a very good approximation to the solution can be obtained using only a few terms in the expansion.

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