Can Milne's method work well for the Coulomb-like potentials?

DOI10.1016/S0377-0427(02)00732-XzbMath1018.65100MaRDI QIDQ1872982

Takeshi Wada, Tadashi Yano, Hiroshi Ezawa, Yasuo Ezawa

Publication date: 19 May 2003

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

numerical exampleseigenvalueseigenfunctionsEinstein gravityCoulomb potentialSturm-Liouville differential equationMilne's methodmulti-dimensional universestability of the multi-dimensional universe

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Numerical investigation of stability of solutions to ordinary differential equations (65L07) Numerical approximation of eigenvalues and of other parts of the spectrum of ordinary differential operators (34L16) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)

Related Items (3)

Equivalence of the empirical shifted Deng-Fan oscillator potential for diatomic molecules ⋮ Coherent states of the inverted Caldirola-Kanai oscillator with time-dependent singularities ⋮ Bound state solutions of three-dimensional Klein-Gordon equation for two model potentials by NU method

Uses Software

• MEV4
• MEV3

Cites Work

• A high-speed method for eigenvalue problems. IV: Sturm-Liouville-type differential equations
• A high-speed method for eigenvalue problems. III: Case of unsymmetrical potentials in Milne's method
• A high-speed method for solving eigenvalue problems: Use of the spline function in Milne's method
• Semiclassical approach to stability of the extra-dimensional spaces in higher-curvature gravity theories
• Measurements of Ω and Λ from 42 High‐Redshift Supernovae
• Numerical solution of an unharmonic oscillator eigenvalue problem by Milne's method

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