Computational methods for generalized Thomas-Fermi models of atoms
Thesis/Dissertation
·
OSTI ID:6285444
Existence of solutions for generalized Thomas-Fermi models under three different types of boundary conditions is established constructively by using modified Bessel functions of the first and second kinds. Uniqueness of solutions is also proved. The dependence of solutions on the sizes of the finite intervals is also established. For illustrations, six numerical examples are given; three of these deal with the Thomas-Fermi models. The author's computational methods are very stable since they depend on numerical integrations.
- Research Organization:
- University of Southwestern Louisiana, Lafayette (USA)
- OSTI ID:
- 6285444
- Country of Publication:
- United States
- Language:
- English
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