International Journal of Mathematics and Mathematical Sciences
Volume 21 (1998), Issue 4, Pages 755-760
doi:10.1155/S0161171298001057

Efficient algorithms for solving nonlinear Volterra integro-differential equations with two point boundary conditions

Abstract

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.