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Zh. Vychisl. Mat. Mat. Fiz., 2013, Volume 53, Number 5, Page 701 (Mi zvmmf9851)  

This article is cited in 1 scientific paper (total in 1 paper)

Theoretical investigation on error analysis of Sinc approximation for mixed Volterra–Fredholm integral equation

H. Mesgarani, R. Mollapourasl

School of Mathematics, Shahid Rajaee Teacher Training University Lavizan, Tehran 16788, Iran

Abstract: In this study, we propose one of the new techniques used in solving numerical problems involving integral equations known as the Sinc-collocation method. This method has been shown to be a powerful numerical tool for finding fast and accurate solutions. So, in this article, a mixed Volterra–Fredholm integral equation which has been appeared in many science an engineering phenomena is discredited by using some properties of the Sinc-collocation method and Sinc quadrature rule to reduce integral equation to some algebraic equations. Then exponential convergence rate of this numerical technique is discussed by preparing a theorem. Finally, some numerical examples are included to demonstrate the validity and applicability of the convergence theorem and numerical scheme.

Key words: integral equation, mixed Volterra–Fredholm type, collocation method, Sinc quadrature.

DOI: https://doi.org/10.7868/S0044466913050116

Full text: PDF file (147 kB)
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English version:
Computational Mathematics and Mathematical Physics, 2013, 53:5, 530–539

Bibliographic databases:

UDC: 519.642
Received: 10.10.2012
Language:

Citation: H. Mesgarani, R. Mollapourasl, “Theoretical investigation on error analysis of Sinc approximation for mixed Volterra–Fredholm integral equation”, Zh. Vychisl. Mat. Mat. Fiz., 53:5 (2013), 701; Comput. Math. Math. Phys., 53:5 (2013), 530–539

Citation in format AMSBIB
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\by H.~Mesgarani, R.~Mollapourasl
\paper Theoretical investigation on error analysis of Sinc approximation for mixed Volterra--Fredholm integral equation
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2013
\vol 53
\issue 5
\pages 701
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\crossref{https://doi.org/10.7868/S0044466913050116}
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\transl
\jour Comput. Math. Math. Phys.
\yr 2013
\vol 53
\issue 5
\pages 530--539
\crossref{https://doi.org/10.1134/S0965542513050151}
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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. Ma Ya., Huang J., Wang Ch., Li H., “Sinc Nyström method for a class of nonlinear Volterra integral equations of the first kind”, Adv. Differ. Equ., 2016, 151  crossref  mathscinet  isi  scopus
  • Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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