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Zbl 1096.65072
Wazwaz, Abdul-Majid
The modified decomposition method and Padé approximants for a boundary layer equation in unbounded domain. (English)
[J] Appl. Math. Comput. 177, No. 2, 737-744 (2006). ISSN 0096-3003

Summary: The modified Adomian decomposition method is applied for analytic treatment of nonlinear differential equations that appear on boundary layers in fluid mechanics. The modified method accelerates the rapid convergence of the series solution, dramatically reduces the size of work. The obtained series solution is combined with the diagonal Padé approximants to handle the boundary condition at infinity.

MSC 2000:: *65L10 Boundary value problems for ODE (numerical methods)
34B15 Nonlinear boundary value problems of ODE
76D10 Boundary-layer theory (incompressible fluids)

Keywords: boundary layers; blasius equation; Padé approximants; numerical examples

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