New Phase Fitted and Amplification Fitted Numerov-Type Methods for Periodic IVPs with Two Frequencies

Joint Authors

Fang, Yonglei
Chen, Zhaoxia
You, Xiong

Source

Abstract and Applied Analysis

Issue

Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-15, 15 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2012-10-12

Country of Publication

Egypt

No. of Pages

15

Main Subjects

Mathematics

Abstract EN

Phase fitted and amplification fitted Numerov-type methods for periodic initial value problems with two frequencies are investigated.

A one-frequency method and a two-frequency method are constructed.

The two new methods both have algebraic order five and are dispersive of order six and dissipative of order five.

The two-dimensional absolute stability region for the one-frequency method and the three-dimensional absolute stability region for the two-frequency method are plotted.

Numerical experiments are reported to show the efficiency and competence of the two new methods.

American Psychological Association (APA)

Fang, Yonglei& You, Xiong& Chen, Zhaoxia. 2012. New Phase Fitted and Amplification Fitted Numerov-Type Methods for Periodic IVPs with Two Frequencies. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-495156

Modern Language Association (MLA)

Fang, Yonglei…[et al.]. New Phase Fitted and Amplification Fitted Numerov-Type Methods for Periodic IVPs with Two Frequencies. Abstract and Applied Analysis No. 2012 (2012), pp.1-15.
https://search.emarefa.net/detail/BIM-495156

American Medical Association (AMA)

Fang, Yonglei& You, Xiong& Chen, Zhaoxia. New Phase Fitted and Amplification Fitted Numerov-Type Methods for Periodic IVPs with Two Frequencies. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-495156

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-495156