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

MSC:
34A05Methods of solution of ODE
81V45Applications of quantum theory to atomic physics
34A34Nonlinear ODE and systems, general
34A25Analytical theory of ODE (series, transformations, transforms, operational calculus, etc.)
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Full Text: DOI
References:
[1] March, N. H.: Density theory of atoms and molecules. (1992)
[2] Englert, B. G.: Semiclassical theory of atoms. (1988)
[3] Adomian, G.: Solving frontier problems of physics: the decomposition method. (1994) · Zbl 0802.65122
[4] Adomian, G.: Nonlinear stochastic operator equations. (1986) · Zbl 0609.60072
[5] Cherruault, Y.: Convergence of Adomian’s method. Kybernetes 18, No. 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, No. 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, No. 6, 13-25 (1992) · Zbl 0801.35007
[8] Cherruault, Y.; Adomian, G.: Decomposition method: A new proof of convergence. Mathl. comput. Modelling 18, No. 12, 103-106 (1993) · Zbl 0805.65057