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- Title
A family of ten-step methods with vanished phase-lag and its first derivative for the numerical solution of the Schrödinger equation.
- Authors
Alolyan, Ibraheem; Simos, T.
- Abstract
A family of high algebraic order ten-step methods is obtained in this paper. The new developed methods have vanished phase-lag (the first one) and phase-lag and its first derivative (the second one). We apply the new developed methods to the resonance problem of the radial Schrödinger equation. The efficiency of the new proposed methods is shown via error analysis and numerical applications.
- Subjects
SCHRODINGER equation; NUMERICAL solutions to equations; NUMERICAL analysis; ALGEBRA; ERROR analysis in mathematics; RESONANCE integral (Nuclear physics); QUANTUM theory; QUANTUM chemistry
- Publication
Journal of Mathematical Chemistry, 2011, Vol 49, Issue 9, p1843
- ISSN
0259-9791
- Publication type
Article
- DOI
10.1007/s10910-011-9862-z