The stability of collocation methods for vides of second order

Edris Rawashdeh, Dave McDowell, Leela Rakesh

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

Simplest results presented here are the stability criteria of collocation methods for the second-order Volterra integrodifferential 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.

Original languageEnglish
Pages (from-to)1049-1066
Number of pages18
JournalInternational Journal of Mathematics and Mathematical Sciences
Volume2005
Issue number7
DOIs
StatePublished - Jun 19 2005

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