The modified decomposition method and Padé approximants for a boundary layer equation in unbounded domain. (English) Zbl 1096.65072

Wazwaz, Abdul-Majid

Appl. Math. Comput. 177, No. 2, 737-744 (2006).

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:

65L10	Numerical solution of boundary value problems involving ordinary differential equations
34B15	Nonlinear boundary value problems for ordinary differential equations
76D10	Boundary-layer theory, separation and reattachment, higher-order effects

Keywords:

boundary layers; blasius equation; Padé approximants; numerical examples

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