A Class of New Pouzet-Runge-Kutta-Type Methods for Nonlinear Functional Integro-Differential Equations
Author
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-21, 21 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-04-23
Country of Publication
Egypt
No. of Pages
21
Main Subjects
Abstract EN
This paper presents a class of new numerical methods for nonlinear functional-integrodifferential equations, which are derived by an adaptation of Pouzet-Runge-Kutta methods originally introduced for standard Volterra integrodifferential equations.
Based on the nonclassical Lipschitz condition, analytical and numerical stability is studied and some novel stability criteria are obtained.
Numerical experiments further illustrate the theoretical results and the effectiveness of the methods.
In the end, a comparison between the presented methods and the existed related methods is given.
American Psychological Association (APA)
Zhang, Chengjian. 2012. A Class of New Pouzet-Runge-Kutta-Type Methods for Nonlinear Functional Integro-Differential Equations. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-21.
https://search.emarefa.net/detail/BIM-487581
Modern Language Association (MLA)
Zhang, Chengjian. A Class of New Pouzet-Runge-Kutta-Type Methods for Nonlinear Functional Integro-Differential Equations. Abstract and Applied Analysis No. 2012 (2012), pp.1-21.
https://search.emarefa.net/detail/BIM-487581
American Medical Association (AMA)
Zhang, Chengjian. A Class of New Pouzet-Runge-Kutta-Type Methods for Nonlinear Functional Integro-Differential Equations. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-21.
https://search.emarefa.net/detail/BIM-487581
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-487581