A series solution to the Thomas-Fermi equation

作者：Yao, Baoheng^*

来源：Applied Mathematics and Computation, 2008, 203(1): 396-401.

DOI：10.1016/j.amc.2008.04.050

• Thomas-Fermi equation
• generalized basis function
• series solution
• homotopy analysis method

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.

• 出版日期2008-9-1
• 单位上海交通大学