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Pouzet-Runge-Kutta-Chebyshev method for Volterra integral equations of the second kind. (English) Zbl 1320.65202

Summary: We construct a stabilized Runge-Kutta method of Pouzet type (Pouzet-Runge-Kutta-Chebyshev method, PRKC) for nonlinear stiff Volterra integral equations of the second kind. The PRKC method is an explicit second-order scheme which possesses extended stability region due to the first kind Chebyshev polynomial used to establish the stability function.

MSC:

65R20 Numerical methods for integral equations
45D05 Volterra integral equations

Software:

RODAS; RKC
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Full Text: DOI

References:

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