×

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.
Full Text: DOI

References:

[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
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.