A New Trigonometrically Fitted Two-Derivative Runge-Kutta Method for the Numerical Solution of the Schrödinger Equation and Related Problems

Joint Authors

Fang, Yonglei
You, Xiong
Che, Haitao
Zhang, Yanwei

Source

Journal of Applied Mathematics

Issue

Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-9, 9 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2013-12-03

Country of Publication

Egypt

No. of Pages

9

Main Subjects

Mathematics

Abstract EN

A new trigonometrically fitted fifth-order two-derivative Runge-Kutta method with variable nodes is developed for the numerical solution of the radial Schrödinger equation and related oscillatory problems.

Linear stability and phase properties of the new method are examined.

Numerical results are reported to show the robustness and competence of the new method compared with some highly efficient methods in the recent literature.

American Psychological Association (APA)

Zhang, Yanwei& Che, Haitao& Fang, Yonglei& You, Xiong. 2013. A New Trigonometrically Fitted Two-Derivative Runge-Kutta Method for the Numerical Solution of the Schrödinger Equation and Related Problems. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-509702

Modern Language Association (MLA)

Zhang, Yanwei…[et al.]. A New Trigonometrically Fitted Two-Derivative Runge-Kutta Method for the Numerical Solution of the Schrödinger Equation and Related Problems. Journal of Applied Mathematics No. 2013 (2013), pp.1-9.
https://search.emarefa.net/detail/BIM-509702

American Medical Association (AMA)

Zhang, Yanwei& Che, Haitao& Fang, Yonglei& You, Xiong. A New Trigonometrically Fitted Two-Derivative Runge-Kutta Method for the Numerical Solution of the Schrödinger Equation and Related Problems. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-509702

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-509702