A series solution to the Thomas–Fermi equation
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摘要
Nonlinear Thomas–Fermi equation is solved by an analytic technique named homotopy analysis method (HAM) in this paper. For a further improvement of the convergence and precision of the solution to Thomas–Fermi equation by HAM, different from previous work, however, a more generalized set of basis function and consequential auxiliary linear operator are introduced to provide a series solution. The comparisons are also made among the results of the present work, some well-known numerical solution and previous work with the same technique, which shows the present work has provided a better series solution by far.
论文关键词:Thomas–Fermi equation,Generalized basis function,Series solution,Homotopy analysis method
论文评审过程:Available online 4 May 2008.
论文官网地址:https://doi.org/10.1016/j.amc.2008.04.050