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6th International Conference on Differential Equations and Dynamical Systems
May 22-26, 2008

Baltimore, Maryland, USA

Organizers
Xinzhi Liu, University of Waterloo; Gaston M. N'Guerekata, Morgan State University

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Combined new numerical method for Volterra integral equations of pantograph type
by
Alexandru Mihai Bica
University of Oradea, Romania
Coauthors: Horea Aros

For nonlinear Volterra integral equations of pantograph type a new combined numerical method is constructed. The method combines the Picard sequence of successive approximations, the trapezoidal quadrature formula for functions with Lipschitzian first derivative and spline interpolation. The effective error estimation of the method is obtained and the corresponding algorithm is illustrated on a numerical example.

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Date received: January 31, 2008

Copyright © 2008 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cavk-93.