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Numerical solution of nonlinear weakly singular Volterra integral equations of the first kind: An hp-version collocation approach.
- Source :
-
Applied Numerical Mathematics . Mar2021, Vol. 161, p111-136. 26p. - Publication Year :
- 2021
-
Abstract
- This paper is concerned with the numerical solution for a class of nonlinear weakly singular Volterra integral equation of the first kind. The existence and uniqueness issue of this nonlinear Volterra integral equations is studied completely. An hp -version collocation method in conjunction with Jacobi polynomials is introduced so as an appropriate numerical solution to be found. We analyze it properly and find an error estimation in L 2 -norm. The efficiency of the method is illustrated by some numerical experiments. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 01689274
- Volume :
- 161
- Database :
- Academic Search Index
- Journal :
- Applied Numerical Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 147829771
- Full Text :
- https://doi.org/10.1016/j.apnum.2020.10.030