Analytical approximate solutions to the Thomas-Fermi equation

Vasile Marinca, Remus-Daniel Ene
2014 Open Physics  
AbstractThe purpose of this paper is to show how to use the Optimal Homotopy Asymptotic Method (OHAM) to solve the nonlinear differential Thomas-Fermi equation. Our procedure does not depend upon small parameters and provides us with a convenient way to optimally control the convergence of the approximate solutions. An excellent agreement was found between our approximate results and numerical solutions, which prove that OHAM is very efficient in practice, ensuring a very rapid convergence
more » ... id convergence after only one iteration.
doi:10.2478/s11534-014-0472-9 fatcat:zdgapk3f2nfvtpvhabhwlpg5yy