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

Edris Rawashdeh; Dave McDowell; Leela Rakesh

doi:10.1155/IJMMS.2005.3075

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

Edris Rawashdeh, Dave McDowell, Leela Rakesh

Mathematics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

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.

Original language	English
Pages (from-to)	3075-3089
Number of pages	15
Journal	International Journal of Mathematics and Mathematical Sciences
Volume	2005
Issue number	19
DOIs	https://doi.org/10.1155/IJMMS.2005.3075
State	Published - 2005

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title = "The stability of collocation methods for higher-order Volterra integro-differential equations",

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.",

author = "Edris Rawashdeh and Dave McDowell and Leela Rakesh",

year = "2005",

doi = "10.1155/IJMMS.2005.3075",

language = "English",

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pages = "3075--3089",

journal = "International Journal of Mathematics and Mathematical Sciences",

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AU - Rawashdeh, Edris

AU - McDowell, Dave

AU - Rakesh, Leela

PY - 2005

Y1 - 2005

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=33746741659&partnerID=8YFLogxK

U2 - 10.1155/IJMMS.2005.3075

DO - 10.1155/IJMMS.2005.3075

M3 - Article

AN - SCOPUS:33746741659

SN - 0161-1712

VL - 2005

SP - 3075

EP - 3089

JO - International Journal of Mathematics and Mathematical Sciences

JF - International Journal of Mathematics and Mathematical Sciences

IS - 19

ER -

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

Abstract

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