A NEW HIGH ORDER CLOSED NEWTON-COTES TRIGONOMETRICALLY-TTED FORMULAE FOR THE NUMERICAL SOLUTION OF THE SCHRODINGER EQUATION

Q: How can I download an article?

To download an article from SID, first log in to the site, search for the article title, and click on the 'Download Article' option.

Q: How can I download an ISI article?

To download an ISI article on SID, enter the keyword or article title in the search bar, view the relevant results, click on the desired article, and select the 'Download Article' option.

Q: How can I access the SID database?

To access the SID database, visit SID.ir, create an account, and log in to access scientific resources.

Q: Is downloading articles from SID free?

Some articles on SID are available for free, while others require payment. Details are specified on the article's page.

SHOKRI ALI; SAADAT HOSEIN; Khodadadi Alireza

Scientific Information Database (SID) - Trusted Source for Research and Academic Resources

Journal Paper

Paper Information

Journal: Iranian Journal of Mathematical Sciences and Informatics Year:2018 | Volume:13 | Issue:1 Page(s): 111-129

Download Full-Text

View:

Download:

Cites:

Information Journal Paper

Title

A NEW HIGH ORDER CLOSED NEWTON-COTES TRIGONOMETRICALLY-TTED FORMULAE FOR THE NUMERICAL SOLUTION OF THE SCHRODINGER EQUATION

Author(s)

SHOKRI ALI | SAADAT HOSEIN | Khodadadi Alireza | Issue Writer Certificate

Keywords

PHASE-LAG

SCHRODINGER EQUATION

NUMERICAL SOLUTION

NEWTON-COTES FORMULAE

DERIVATIVE

Abstract

In this paper, we investigate the connection between closed NEWTON-COTES FORMULAE, trigonometrically-fitted methods, symplectic integrators and efficient integration of the Schrodinger equation. The study of multistep symplectic integrators is very poor although in the last decades several one step symplectic integrators have been produced based on symplectic geometry (see the relevant literature and the references here). In this paper we study the closed NEWTON-COTES FORMULAE and we write them as symplectic multilayer structures. Based on the closed NEWTON-COTES FORMULAE, we also develop trigonometrically-fitted symplectic methods. An error analysis for the one-dimensional Schrodinger equation of the new developed methods and a comparison with previous developed methods is also given. We apply the new symplectic schemes to the well-known radial Schrodinger equation in order to investigate the efficiency of the proposed method to these type of problems.

Cites

No record.

References

Cite

APA: Copy

SHOKRI, ALI, SAADAT, HOSEIN, & Khodadadi, Alireza. (). . , (), -. SID. https://sid.ir/paper/310460/en

Vancouver: Copy

SHOKRI ALI, SAADAT HOSEIN, Khodadadi Alireza. . [Internet]. ;():-. Available from: https://sid.ir/paper/310460/en

IEEE: Copy

ALI SHOKRI, HOSEIN SAADAT, and Alireza Khodadadi, “,” , vol. , no. , pp. –, , [Online]. Available: https://sid.ir/paper/310460/en

Related Journal Papers

No record.