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A Mechanical Quadrature Method for Solving Delay Volterra Integral Equation with Weakly Singular Kernels
Joint Authors
Huang, Jin
Zhang, Li
Pan, Yubin
Wen, Xiaoxia
Source
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-06-16
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
In this work, a mechanical quadrature method based on modified trapezoid formula is used for solving weakly singular Volterra integral equation with proportional delays.
An improved Gronwall inequality is testified and adopted to prove the existence and uniqueness of the solution of the original equation.
Then, we study the convergence and the error estimation of the mechanical quadrature method.
Moreover, Richardson extrapolation based on the asymptotic expansion of error not only possesses a high accuracy but also has the posterior error estimate which can be used to design self-adaptive algorithm.
Numerical experiments demonstrate the efficiency and applicability of the proposed method.
American Psychological Association (APA)
Zhang, Li& Huang, Jin& Pan, Yubin& Wen, Xiaoxia. 2019. A Mechanical Quadrature Method for Solving Delay Volterra Integral Equation with Weakly Singular Kernels. Complexity،Vol. 2019, no. 2019, pp.1-12.
https://search.emarefa.net/detail/BIM-1131922
Modern Language Association (MLA)
Zhang, Li…[et al.]. A Mechanical Quadrature Method for Solving Delay Volterra Integral Equation with Weakly Singular Kernels. Complexity No. 2019 (2019), pp.1-12.
https://search.emarefa.net/detail/BIM-1131922
American Medical Association (AMA)
Zhang, Li& Huang, Jin& Pan, Yubin& Wen, Xiaoxia. A Mechanical Quadrature Method for Solving Delay Volterra Integral Equation with Weakly Singular Kernels. Complexity. 2019. Vol. 2019, no. 2019, pp.1-12.
https://search.emarefa.net/detail/BIM-1131922
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1131922