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The modified decomposition method and Padé approximants for solving the Thomas-Fermi equation. (English) Zbl 0956.65064
Methods for approximating the solution of the Thomas-Fermi equation are discussed, where particular emphasis is put on the approximation of the slope at zero. For this purpose, a modification of Adomian’s method for expanding the solution into a polynomial series is proposed. To handle the boundary condition at infinity, a combination with Padé approximation is used. Finally, the slope at zero is obtained by solving a polynomial equation.
Reviewer: M.Plum (Karlsruhe)

MSC:
65L10 Numerical solution of boundary value problems involving ordinary differential equations
34B30 Special ordinary differential equations (Mathieu, Hill, Bessel, etc.)
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