Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.13091/1507
Title: A matched Hermite-Taylor matrix method to solve the combined partial integro-differential equations having nonlinearity and delay terms
Authors: Yalçın, Elif
Kürkçü, Ömür Kıvanç
Sezer, Mehmet
Keywords: Hermite And Taylor Polynomials
Matrix Method
Delay
Nonlinearity
Collocation Points
Order Lagrange Polynomials
Numerical-Solution
Issue Date: 2020
Publisher: SPRINGER HEIDELBERG
Abstract: In this study, a matched numerical method based on Hermite and Taylor matrix-collocation techniques is developed to obtain the numerical solutions of a combination of the partial integro-differential equations (PIDEs) under Dirichlet boundary conditions, which involve the nonlinearity, delay and Volterra integral terms. These type equations govern wide variety applications in physical sense. The present method easily constitutes the matrix relations of the linear and nonlinear terms in a considered PIDE, using the eligibilities of the Hermite and Taylor polynomials. It thus directly produces a polynomial solution by eliminating a matrix system of nonlinear algebraic functions gathered from the matrix relations. Besides, the validity and precision of the method are tested on stiff examples by fulfilling several error computations. One can state that the method is fast, validate and productive according to the numerical and graphical results
URI: https://doi.org/10.1007/s40314-020-01331-3
https://hdl.handle.net/20.500.13091/1507
ISSN: 2238-3603
1807-0302
Appears in Collections:Mühendislik ve Doğa Bilimleri Fakültesi Koleksiyonu
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collections
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collections

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