The stability of collocation methods for VIDEs of second order

Edris Rawashdeh, Dave McDowell and Leela Rakesh

International Journal of Mathematics and Mathematical Sciences, 2005, vol. 2005, 1-18

Abstract:

Simplest results presented here are the stability criteria of collocation methods for the second-order Volterra integro differential equation (VIDE) by polynomial spline functions. The polynomial spline collocation method is stable if all eigenvalues of a matrix are in the unit disk and all eigenvalues with | λ | = 1 belong to a 1 × 1 Jordan block. Also many other conditions are derived depending upon the choice of collocation parameters used in the solution procedure.

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:170389

DOI: 10.1155/IJMMS.2005.1049

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