An efficient numerical method for solving nonlinear Thomas-Fermi equation (Q1737386)

scientific article; zbMATH DE number 7042977

Language	Label	Description	Also known as
English	An efficient numerical method for solving nonlinear Thomas-Fermi equation	scientific article; zbMATH DE number 7042977

Statements

instance of

scholarly article

0 references

title

An efficient numerical method for solving nonlinear Thomas-Fermi equation (English)

0 references

0 references

0 references

0 references

Acta Universitatis Sapientiae. Mathematica

0 references

publication date

27 March 2019

0 references

zbMATH Keywords

Thomas-Fermi equation

0 references

fractional order of rational Chebyshev functions

0 references

quasilinearization method

0 references

collocation method

0 references

unbounded domain

0 references

MaRDI profile type

Publication

0 references

full work available at URL

https://doi.org/10.2478/ausm-2018-0012

0 references

cites work

Finite difference/finite element method for two-dimensional space and time fractional Bloch-Torrey equations

0 references

An improved numerical method for a class of astrophysics problems based on radial basis functions

0 references

Numerical study of astrophysics equations by meshless collocation method based on compactly supported radial basis function

0 references

Scattered Data Interpolation: Tests of Some Method

0 references

Pricing American options under jump-diffusion models using local weak form meshless techniques

0 references

Numerical pricing of American options under two stochastic factor models with jumps using a meshless local Petrov-Galerkin method

0 references

New numerical solutions for solving Kidder equation by using the rational Jacobi functions

0 references

Approximation of Some Diffusion Evolution Equations in Unbounded Domains by Hermite Functions

0 references

Laguerre-Galerkin method for nonlinear partial differential equations on a semi-infinite interval

0 references

Jacobi approximations in certain Hilbert spaces and their applications to singular differential equations

0 references

Pricing European and American options by radial basis point interpolation

0 references

Pricing European and American options using a very fast and accurate scheme: the meshless local Petrov-Galerkin method

0 references

Analytic solutions of some self-adjoint equations by using variable change method and its applications

0 references

Orthogonal rational functions on a semi-infinite interval

0 references

Solving a laminar boundary layer equation with the rational Gegenbauer functions

0 references

Numerical solution of fractional differential equations with a Tau method based on Legendre and Bernstein polynomials

0 references

Numerical approach of flow and mass transfer on nonlinear stretching sheet with chemically reactive species using rational Jacobi collocation method

0 references

Rational and exponential Legendre Tau method on steady flow of a third grade fluid in a porous half space

0 references

Q5775739

0 references

Equations of State of Elements Based on the Generalized Fermi-Thomas Theory

0 references

The Thomas-Fermi Method for Metals

0 references

An analytic solution to the Thomas–Fermi equation

0 references

Numerical solution of hyperbolic telegraph equation using the Chebyshev tau method

0 references

The operational matrix of fractional integration for shifted Chebyshev polynomials

0 references

Novel orthogonal functions for solving differential equations of arbitrary order

0 references

Q5514046

0 references

Q3267606

0 references

An Efficient Numerical Solution of Nonlinear Hunter–Saxton Equation

0 references

Quasilinearization approach to computations with singular potentials

0 references

Analytical computation of amplification of coupling in relativistic equations with Yukawa potential

0 references

Quasilinearization approach to nonlinear problems in physics with application to nonlinear ODEs

0 references

Q4755794

0 references

Chebyshev series solution of the Thomas-Fermi equation

0 references

The modified decomposition method and Padé approximants for solving the Thomas-Fermi equation

0 references

An explicit analytic solution to the Thomas-Fermi equation.

0 references

Series solution to the Thomas-Fermi equation

0 references

A series solution to the Thomas-Fermi equation

0 references

Rational Chebyshev pseudospectral approach for solving Thomas-Fermi equation

0 references

Variation and series approach to the Thomas-Fermi equation

0 references

Analytic continuation of Taylor series and the boundary value problems of some nonlinear ordinary differential equations

0 references

Rational approximation to the Thomas-Fermi equations

0 references

An adaptive algorithm for the Thomas-Fermi equation

0 references

Solution of the Thomas-Fermi equation with a convergent approach

0 references

The improved homotopy analysis method for the Thomas-Fermi equation

0 references

Rational Chebyshev series for the Thomas-Fermi function: endpoint singularities and spectral methods

0 references

The sinc-collocation method for solving the Thomas-Fermi equation

0 references

On the rational second kind Chebyshev pseudospectral method for the solution of the Thomas-Fermi equation over an infinite interval

0 references

Spectral method for solving the nonlinear Thomas-Fermi equation based on exponential functions

0 references

Accurate calculation of the solutions to the Thomas-Fermi equations

0 references

Laguerre pseudospectral approximation to the Thomas-Fermi equation

0 references

A new approach for solving nonlinear Thomas-Fermi equation based on fractional order of rational Bessel functions

0 references

Accurate solution of the Thomas-Fermi equation using the fractional order of rational Chebyshev functions

0 references

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

0 references

Identifiers

zbMATH Open document ID

1415.65179

0 references

Mathematics Subject Classification ID

0 references

0 references

0 references

0 references

0 references

0 references

0 references

0 references

10.2478/AUSM-2018-0012

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:1737386