International Journal of Mathematics and Mathematical Sciences
Volume 2004 (2004), Issue 53-56, Pages 3011-3022
doi:10.1155/S016117120421033X

Polynomial spline collocation methods for second-order Volterra integrodifferential equations

Edris Rawashdeh , David McDowell and Leela Rakesh

Department of Mathematics, Central Michigan University, Mount Pleasant 48859, MI, USA

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.