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hp-version collocation method for a class of nonlinear Volterra integral equations of the first kind.
- Source :
-
Applied Numerical Mathematics . Apr2020, Vol. 150, p452-477. 26p. - Publication Year :
- 2020
-
Abstract
- In this paper, we present a collocation method for nonlinear Volterra integral equation of the first kind. This method benefits from the idea of hp -version projection methods. We provide an approximation based on the Legendre polynomial interpolation. The convergence of the proposed method is completely studied and an error estimate under the L 2 -norm is provided. Finally, several numerical experiments are presented in order to verify the obtained theoretical results. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 01689274
- Volume :
- 150
- Database :
- Academic Search Index
- Journal :
- Applied Numerical Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 140920268
- Full Text :
- https://doi.org/10.1016/j.apnum.2019.10.006