International Journal of Mathematics and Mathematical Sciences
Volume 2004 (2004), Issue 56, Pages 3011-3022
doi:10.1155/S016117120421033X
Polynomial spline collocation methods for second-order Volterra integrodifferential equations
Department of Mathematics, Central Michigan University, Mount Pleasant 48859, MI, USA
Received 21 October 2002
Copyright © 2004 Edris Rawashdeh et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
We have presented a method for the construction of an
approximation to the initial-value second-order Volterra
integrodifferential equation (VIDE). The polynomial spline
collocation methods described here give a superconvergence to the
solution of the equation.