New numerical solution for solving nonlinear singular Thomas-Fermi differential equation

zbMath1377.65096MaRDI QIDQ1676415

Mehdi Delkhosh, Kourosh Parand

Publication date: 7 November 2017

Published in: Bulletin of the Belgian Mathematical Society - Simon Stevin (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.bbms/1506477694

zbMATH Keywords

collocation methodsingular pointsnumerical examplesnonlinear ODEsemi-infinite domainThomas-Fermi equationfractional order of the Chebyshev functions

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Singular nonlinear boundary value problems for ordinary differential equations (34B16) Boundary value problems on infinite intervals for ordinary differential equations (34B40)

Related Items (7)

A new computational method based on fractional Lagrange functions to solve multi-term fractional differential equations ⋮ Revisiting the Thomas-Fermi equation: accelerating rational Chebyshev series through coordinate transformations ⋮ A hybrid augmented compact finite volume method for the Thomas-Fermi equation ⋮ A new numerical strategy for solving nonlinear singular Emden-Fowler delay differential models with variable order ⋮ Bernoulli collocation method for the third-order Lane-Emden-Fowler boundary value problem ⋮ An efficient numerical method for solving nonlinear Thomas-Fermi equation ⋮ An algorithm for the approximate solution of the fractional Riccati differential equation

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