The stability of collocation methods for vides of second order

Edris Rawashdeh; Dave McDowell; Leela Rakesh

doi:10.1155/IJMMS.2005.1049

The stability of collocation methods for vides of second order

Edris Rawashdeh, Dave McDowell, Leela Rakesh

Mathematics

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	1049-1066
Number of pages	18
Journal	International Journal of Mathematics and Mathematical Sciences
Volume	2005
Issue number	7
DOIs	https://doi.org/10.1155/IJMMS.2005.1049
State	Published - Jun 19 2005

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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.",

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AB - 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.

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The stability of collocation methods for vides of second order

Abstract

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