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Solution of the Thomas-Fermi equation. (English) Zbl 0947.34501


MSC:

34A05 Explicit solutions, first integrals of ordinary differential equations
81V45 Atomic physics
34A34 Nonlinear ordinary differential equations and systems
34A25 Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc.
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[1] March, N.H., Density theory of atoms and molecules, (1992), Acad. Press
[2] Englert, B.G., Semiclassical theory of atoms, (1988), Springer-Verlag
[3] Adomian, G., Solving frontier problems of physics: the decomposition method, (1994), Kluwer Acad · Zbl 0802.65122
[4] Adomian, G., Nonlinear stochastic operator equations, (1986), Acad. Press · Zbl 0614.35013
[5] Cherruault, Y., Convergence of Adomian’s method, Kybernetes, 18, 2, 31-38, (1989) · Zbl 0697.65051
[6] Abbaoui, K.; Cherruault, Y., Convergence of Adomian’s method applied to differential equations, Mathl. comput. modelling, 28, 5, 103-109, (1994) · Zbl 0809.65073
[7] Mavoungou, T.; Cherruault, Y., Convergence of Adomian’s method and applications to nonlinear partial differential equations, Kybernetes, 21, 6, 13-25, (1992) · Zbl 0801.35007
[8] Cherruault, Y.; Adomian, G., Decomposition method: A new proof of convergence, Mathl. comput. modelling, 18, 12, 103-106, (1993) · Zbl 0805.65057
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