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A generalization of discrete Gronwall inequality and its application to weakly singular Volterra integral equation of the second kind - MaRDI portal

A generalization of discrete Gronwall inequality and its application to weakly singular Volterra integral equation of the second kind (Q1399372)

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scientific article; zbMATH DE number 1956902
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English
A generalization of discrete Gronwall inequality and its application to weakly singular Volterra integral equation of the second kind
scientific article; zbMATH DE number 1956902

    Statements

    A generalization of discrete Gronwall inequality and its application to weakly singular Volterra integral equation of the second kind (English)
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    30 July 2003
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    The authors present a new discrete Gronwall inequality. Using the inequality they prove convergence and error estimate of the numerical solutions of a second kind weakly singular Volterra integral equation, where the discrete equation is derived by Novot's quadrature formula.
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    wealy singular Volterra integral equation of the second kind
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    quadrature formula method
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    discrete Gronwall inequality
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    convergence
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    error estimate
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