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

L. E. Garey and R. E. Shaw

International Journal of Mathematics and Mathematical Sciences, 1998, vol. 21, 1-6

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.

Date: 1998
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:385157

DOI: 10.1155/S0161171298001057

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