NDLI: Numerical computation of the Tau approximation for the Volterra-Hammerstein integral equations

Content Provider	Springer Nature Link
Author	Ghoreishi, F. Hadizadeh, M.
Copyright Year	2009
Abstract	In this work, we propose an extension of the algebraic formulation of the Tau method for the numerical solution of the nonlinear Volterra-Hammerstein integral equations. This extension is based on the operational Tau method with arbitrary polynomial basis functions for constructing the algebraic equivalent representation of the problem. This representation is an special semi lower triangular system whose solution gives the components of the vector solution. We will show that the operational Tau matrix representation for the integration of the nonlinear function can be represented by an upper triangular Toeplitz matrix. Finally, numerical results are included to demonstrate the validity and applicability of the method and some comparisons are made with existing results. Our numerical experiments show that the accuracy of the Tau approximate solution is independent of the selection of the basis functions.
Ending Page	559
Page Count	19
Starting Page	541
File Format	PDF
ISSN	10171398
e-ISSN	15729265
Journal	Numerical Algorithms
Issue Number	4
Volume Number	52
Language	English
Publisher	Springer US
Publisher Date	2009-05-06
Publisher Place	Boston
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Operational Tau method Algebra Algorithms Volterra-Hammerstein integral equations Singular nonlinear integral equations Integral equations Polynomial approximation Numeric Computing Numerical treatments Algebraic nonlinearity Theory of Computation Mathematics
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics

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