Stability Analysis of One-Leg Methods for Nonlinear Neutral Delay Integrodifferential Equations

Joint Authors

Wen, Liping
Yu, Yuexin

Source

Discrete Dynamics in Nature and Society

Issue

Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-9, 9 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2015-07-14

Country of Publication

Egypt

No. of Pages

9

Main Subjects

Mathematics

Abstract EN

This paper is concerned with the numerical solution of nonlinear neutral delay integrodifferential equations (NDIDEs).

The adaptation of one-leg methods is considered.

It is proved that an A-stable one-leg method can preserve the global stability and a strongly A-stable one-leg method can preserve the asymptotic stability of the analytical solution of nonlinear NDIDEs.

Numerical tests are given to confirm the theoretical results.

American Psychological Association (APA)

Yu, Yuexin& Wen, Liping. 2015. Stability Analysis of One-Leg Methods for Nonlinear Neutral Delay Integrodifferential Equations. Discrete Dynamics in Nature and Society،Vol. 2015, no. 2015, pp.1-9.
https://search.emarefa.net/detail/BIM-1060469

Modern Language Association (MLA)

Yu, Yuexin& Wen, Liping. Stability Analysis of One-Leg Methods for Nonlinear Neutral Delay Integrodifferential Equations. Discrete Dynamics in Nature and Society No. 2015 (2015), pp.1-9.
https://search.emarefa.net/detail/BIM-1060469

American Medical Association (AMA)

Yu, Yuexin& Wen, Liping. Stability Analysis of One-Leg Methods for Nonlinear Neutral Delay Integrodifferential Equations. Discrete Dynamics in Nature and Society. 2015. Vol. 2015, no. 2015, pp.1-9.
https://search.emarefa.net/detail/BIM-1060469

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1060469