International Journal of Mathematics and Mathematical Sciences
Volume 21 (1998), Issue 4, Pages 755-760
Efficient algorithms for solving nonlinear Volterra
integro-differential equations with two point boundary conditions
Univrsity of New Brunswick, P.O. Box 5050, N.B., Saint John E2L 4L5, Canada
Received 19 August 1996; Revised 2 December 1996
Copyright © 1998 L. E. Garey and R. E. Shaw. 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.
In this paper a collection of efficient algorithms are described for solving an algebraic system
with a symmetric Toeplitz coecient matrix. Systems of this form arise when approximating the solution of
boundary value Volterra integro-differential equations with finite difference methods. In the nonlinear case,
an iterative procedure is required and is incorporated into the algorithms presented. Numerical examples
illustrate the results.