A new efficient implicit four-step method with vanished phase-lag and some of its derivatives for the numerical solution of the radial Schr¨odinger equation

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Ali Shokri Morteza Tahmourasi

Abstract

A new four-step implicit linear sixth algebraic order method with vanished phase-lag and its first derivative is constructed in this paper. The purpose of this paper is to develop an efficient algorithm for the approximate solution of the one-dimensional radial Schr¨odinger equation and related problems. In order to produce an efficient multistep method the phase-lag property and its derivatives are used. An error analysis and a stability analysis is also investigated and a comparison with other methods is also studied. The efficiency of the new methodology is proved via theoretical analysis and numerical applications.

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How to Cite
SHOKRI, Ali; TAHMOURASI, Morteza. A new efficient implicit four-step method with vanished phase-lag and some of its derivatives for the numerical solution of the radial Schr¨odinger equation. Journal of Modern Methods in Numerical Mathematics, [S.l.], v. 8, n. 1-2, p. 77-89, sep. 2017. ISSN 2090-4770. Available at: <http://m-sciences.com/index.php?journal=jmmnm&page=article&op=view&path%5B%5D=1223>. Date accessed: 16 oct. 2017. doi: https://doi.org/10.20454/jmmnm.2017.1223.
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