Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



Monotone methods for the Thomas-Fermi equation

Author: J. W. Mooney
Journal: Quart. Appl. Math. 36 (1978), 305-314
MSC: Primary 80A30; Secondary 34B30
DOI: https://doi.org/10.1090/qam/508774
MathSciNet review: 508774
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: The boundary-value problem for the ionized atom case of the Thomas-Fermi equation is transformed to a certain convex nonlinear boundary-value problem. Two iterative procedures, previously developed for such problems, are constructed for the ionized atom problem. A comparative analysis of the efficiency of the iteration schemes is presented. The existence and uniqueness of a solution is established and the solution is shown to have monotonic dependence on the boundary conditions. Numerical bounds are obtained for a specific problem.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Quarterly of Applied Mathematics with MSC: 80A30, 34B30

Retrieve articles in all journals with MSC: 80A30, 34B30

Additional Information

DOI: https://doi.org/10.1090/qam/508774
Article copyright: © Copyright 1978 American Mathematical Society

American Mathematical Society