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Zbl 1118.65132
A quadrature method with variable step for solving linear Volterra integral equations of the second kind.
(English)
[J] Appl. Math. Comput. 188, No. 1, 549-554 (2007). ISSN 0096-3003

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 2000:
*65R20 Integral equations (numerical methods)
45D05 Volterra integral equations

Keywords: linear Volterra integral equation; quadrature; variable step

Citations: Zbl 0592.65093; Zbl 0294.65068

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