The numerical treatment of nonlinear Volterra integral equations of the second kind by the second kind by the discretized collocation method

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  • Ioan Danciu Tiberiu Popoviciu, Institute of Numerical Analysis, Romanian Academy, Romania
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References

H. Brunner, Superconvergence in collocation and implicit Runge-Kutta methods for Volterra-type integral equations of the second kind, Albrecht and Collatz (1980), pp. 54-72.

H. Brunner, P.J. van der Houven, The numerical solution of Volterra equations, CWI Monographs, Vol.3, North-Holland, Amsterdam-New York, 1986.

H. Brunner, S.P. Norsett, Superconvergence of collocation methods for Volterra and Abel equations of the second kind, Numer. Math. 36 (1981), pp. 347-358, https://doi.org/10.1007/978-3-0348-6314-8_4.

Malina Lubor, A note on convergence for the numerical shceme from the Micula's paper, Mathematica-Rev. d'Anal. Numér. Theor. Approx. (Cluj), 17(40), (1975), pp. 187-190.

G. Micula, Funcţii spline şi aplicaţii, Editura Tehnică, Bucharest, 1978.

M. Micula, G. Micula, Sur la résolution numérique des équations integrales du type de Volterra de seconde espèce à l'aide des fonctions splines, Studia Univ., Babeş-Bolyai Math., 18(1973), pp. 65-68.

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Published

1995-08-01

How to Cite

Danciu, I. (1995). The numerical treatment of nonlinear Volterra integral equations of the second kind by the second kind by the discretized collocation method. Rev. Anal. Numér. Théor. Approx., 24(1), 75–89. Retrieved from https://ictp.acad.ro/jnaat/journal/article/view/1995-vol24-nos1-2-art8

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