Open Access
2012 A Class of New Pouzet-Runge-Kutta-Type Methods for Nonlinear Functional Integro-Differential Equations
Chengjian Zhang
Abstr. Appl. Anal. 2012(SI12): 1-21 (2012). DOI: 10.1155/2012/642318

Abstract

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.

Citation

Download Citation

Chengjian Zhang. "A Class of New Pouzet-Runge-Kutta-Type Methods for Nonlinear Functional Integro-Differential Equations." Abstr. Appl. Anal. 2012 (SI12) 1 - 21, 2012. https://doi.org/10.1155/2012/642318

Information

Published: 2012
First available in Project Euclid: 1 April 2013

zbMATH: 1237.65146
MathSciNet: MR2914884
Digital Object Identifier: 10.1155/2012/642318

Rights: Copyright © 2012 Hindawi

Vol.2012 • No. SI12 • 2012
Back to Top