Abstract
The Volterra integral equation of the second kind is approximated by rational predictor-corrector formulas, derived through osculatory rational interpolation. A fourth order method is treated explicitly. Convergence and A-stability are considered. For some nonlinear and singular equations, numerical results are included, and compared with results from a analougous linear method.
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© 1979 Springer-Verlag
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Clarysse, T.H. (1979). Rational predictor-corrector methods for nonlinear volterra integral equations of the second kind. In: Wuytack, L. (eds) Padé Approximation and its Applications. Lecture Notes in Mathematics, vol 765. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0085586
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DOI: https://doi.org/10.1007/BFb0085586
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