The Use of Phase Lag and Amplification Error Derivatives for the Construction of a Modified Runge-Kutta-Nyström Method

Joint Authors

Papadopoulos, D. F.
Simos, Theodore E.

Source

Abstract and Applied Analysis

Issue

Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-11, 11 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2013-05-19

Country of Publication

Egypt

No. of Pages

11

Main Subjects

Mathematics

Abstract EN

A new modified Runge-Kutta-Nyström method of fourth algebraic order is developed.

The new modified RKN method is based on the fitting of the coefficients, due to the nullification not only of the phase lag and of the amplification error, but also of their derivatives.

Numerical results indicate that the new modified method is much more efficient than other methods derived for solving numerically the Schrödinger equation.

American Psychological Association (APA)

Papadopoulos, D. F.& Simos, Theodore E.. 2013. The Use of Phase Lag and Amplification Error Derivatives for the Construction of a Modified Runge-Kutta-Nyström Method. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-507418

Modern Language Association (MLA)

Papadopoulos, D. F.& Simos, Theodore E.. The Use of Phase Lag and Amplification Error Derivatives for the Construction of a Modified Runge-Kutta-Nyström Method. Abstract and Applied Analysis No. 2013 (2013), pp.1-11.
https://search.emarefa.net/detail/BIM-507418

American Medical Association (AMA)

Papadopoulos, D. F.& Simos, Theodore E.. The Use of Phase Lag and Amplification Error Derivatives for the Construction of a Modified Runge-Kutta-Nyström Method. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-507418

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-507418