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A quadrature method with variable step for solving linear Volterra integral equations of the second kind. (English) Zbl 1118.65132
Summary: In usual quadrature methods for solving integral equations, divide the integration interval $(a, b)$ into $n$ equal subintervals of the length $h=(b-a)/n$. In this article, we intend to divide the integration interval into n subintervals of different lengths, which solves linear Volterra integral equations more accurately than usual quadrature methods. For further information on quadrature methods with variable step see {\it L. M. Delves} and {\it J. L. Mohamed} [Computational methods for integral equations, Cambridge University Press (1985; Zbl 0592.65093)] and {\it L. M. Delves} (ed.) and {\it J. Walsh} [Numerical solution of integral equations, Oxford University Press (1974; Zbl 0294.65068)].

MSC:
65R20Integral equations (numerical methods)
45D05Volterra integral equations
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Full Text: DOI
References:
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[3] Delves, L. M.; Mohamed, J. L.: Computational methods for integral equations. (1985) · Zbl 0592.65093
[4] Delves, L. M.; Walsh, J.: Numerical solution of integral equations. (1974) · Zbl 0294.65068
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