Accession Number : AD0712287

Title :   CONVERGENCE OF THE SERIES EXPANSION SOLUTION TO THE THOMAS-FERMI-DIRAC EQUATION,

Corporate Author : RAND CORP SANTA MONICA CALIF

Personal Author(s) : Enstrom,James E.

Report Date : SEP 1970

Pagination or Media Count : 7

Abstract : The Thomas-Fermi-Dirac statistical model has been used for approximate calculations of potential fields and charge densities. It has also been used to derive the equation of state of matter at high pressures and at various temperatures. The second-order nonlinear differential equation which results from the model can only be solved numerically. This is most accurately done by expressing the solution as a power series expanded about the origin. But beyond a certain radius the series diverges and the solution must be continued by numerical integration. It is our purpose here to study the convergence of the power series solution in order to determine precisely the region in which it is accurate. (Author)

Descriptors :   (*NONLINEAR DIFFERENTIAL EQUATIONS, POWER SERIES), CONVERGENCE, NUMERICAL INTEGRATION, ATOMIC PROPERTIES

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE