A matrix formulation of the Tau Method for Fredholm and Volterra linear integro-differential equations

In this paper we obtain the matrix Tau Method representation of a general boundary value problem for Fredholm and Volterra integro-differential equations of orderv. Some theoretical results are given that simplify the application of the Tau Method. The application of the Tau Method to the numerical...

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Bibliographic Details
Published inJournal of applied mathematics & computing Vol. 9; no. 2; pp. 497 - 507
Main Authors AliAbadi, M. Hosseini, Shahmorad, S.
Format Journal Article
LanguageEnglish
Published Dordrecht Springer Nature B.V 01.05.2002
Subjects
Algorithms
Applied mathematics
Boundary value problems
Differential equations
Mathematical analysis
Mathematical models
Studies
Volterra integral equations
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Summary:In this paper we obtain the matrix Tau Method representation of a general boundary value problem for Fredholm and Volterra integro-differential equations of orderv. Some theoretical results are given that simplify the application of the Tau Method. The application of the Tau Method to the numerical solution of such problems is shown. Numerical results and details of the algorithm confirm the high accuracy and userfriendly structure of this numerical approach.
ISSN:1598-5865
1865-2085
DOI:10.1007/BF03021557