On the solution of the Thomas-Fermi equation by differential quadrature

DOI10.1016/0021-9991(84)90099-8zbMath0557.65058OpenAlexW2006350958WikidataQ115365186 ScholiaQ115365186MaRDI QIDQ761780

Faruk Civan, C. M. Sliepcevich

Publication date: 1984

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(84)90099-8

zbMATH Keywords

Newton-Raphson methoddifferential quadratureThomas-Fermi equation

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30)

Related Items (8)

Strong and weak formulations based on differential and integral quadrature methods for the free vibration analysis of composite plates and shells: convergence and accuracy ⋮ The transformed differential quadrature method for solving time-dependent partial differential equations: framework and examples ⋮ An explicit analytic solution to the Thomas-Fermi equation. ⋮ Nonlinear bending analysis of orthotropic rectangular plates by the method of differential quadrature ⋮ Solution of the Thomas-Fermi equation with a convergent approach ⋮ High-accuracy differential quadrature finite element method and its application to free vibrations of thin plate with curvilinear domain ⋮ A note on mathematical treatment of the Dirac-delta function in the differential quadrature bending and forced vibration analysis of beams and rectangular plates subjected to concentrated loads ⋮ Practical finite-analytic method for solving differential equations by compact numerical schemes

Cites Work

• Differential quadrature for multi-dimensional problems
• Application of differential quadrature to transport processes
• Numerical integration of the Thomas-Fermi equation from zero to infinity
• Differential quadrature: A technique for the rapid solution of nonlinear partial differential equations
• Methods of nonlinear analysis. Vol. II
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