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A series solution to the Thomas–Fermi equation

Applied Mathematics and Computation, 2008
Abstract 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 ...
exaly   +2 more sources

Numerical and analytical solutions of an ODE: Strengths and weaknesses of the analytical series solution

Applied Mathematical Modelling, 2012
C Ahmed Basha   +2 more
exaly  

Series solution for the Schrõdinger equation with a long-range spherically symmetric potential

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2002
Chen-Wei Wang
exaly  

Power series analytical solution for 2D quasi-Laplace equation with piecewise constant conductivities

Communications in Nonlinear Science and Numerical Simulation, 2018
Zhi-Feng Liu, Benoit Noetinger
exaly  

The series solution of the Marchenko equation

Letters in Mathematical Physics, 1985
exaly  

Properties of the series solution for Painlevé I [PDF]

open access: yesJournal of Nonlinear Mathematical Physics, 2013
We present some observations on the asymptotic behaviour of the coefficients in the Laurent series expansion of solutions of the first Painlevé equation.
Ragnisco, Orlando   +3 more
core   +5 more sources

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