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

Authors

  • Ioan Danciu Tiberiu Popoviciu, Institute of Numerical Analysis, Romanian Academy, Romania
Abstract views: 201

Abstract

Not available.

Downloads

Download data is not yet available.

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.

Downloads

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

Issue

Vol 24, Nos 1-2 (1995)

Section

Articles

License

Copyright (c) 2015 Journal of Numerical Analysis and Approximation Theory

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Open Access. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License, which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.