The stability of collocation methods for higher-order Volterra integro-differential equations

Edris Rawashdeh, Dave McDowell and Leela Rakesh

International Journal of Mathematics and Mathematical Sciences, 2005, vol. 2005, 1-15

Abstract:

The numerical stability of the polynomial spline collocation method for general Volterra integro-differential equation is being considered. The convergence and stability of the new method are given and the efficiency of the new method is illustrated by examples. We also proved the conjecture suggested by Danciu in 1997 on the stability of the polynomial spline collocation method for the higher-order integro-differential equations.

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:374758

DOI: 10.1155/IJMMS.2005.3075

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