A note on the solution of a differential equation arising in boundary-layer theory
Tóm tắt
The differential equation f′‴ + ff″ + λf′2 = 0 (where dashes denote differentiation with respect to the independent variable η) subject to the boundary conditions f(0)=0, f′(∞)=0 and either f′(0)=1 or f″(0)=−1 is considered. It is shown that by using p≡f′ as dependent variable and ϕ=C−f (where C=f(∞)) as independent variable and then expanding in powers of ϕ, a very good approximation to the solution can be obtained using only a few terms in the expansion.
Tài liệu tham khảo
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