We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Numerical Solutions of a Class of Nonlinear Volterra Integral Equations.
- Authors
Malindzisa, H. S.; Khumalo, M.
- Abstract
We consider numerical solutions of a class of nonlinear (nonstandard) Volterra integral equations. We first prove the existence and uniqueness of the solution of the Volterra integral equation in the context of the space of continuous functions over a closed interval. We then use one-point collocation methods with a uniform mesh to construct solutions of the nonlinear (nonstandard) VIE and quadrature rules. We conclude that the repeated Simpson's rule gives better solutions when a reasonably large value of the stepsize is used.
- Subjects
NUMERICAL solutions to Voterra equations; NUMERICAL solutions to nonlinear integral equations; TOPOLOGICAL spaces; COLLOCATION methods; QUADRATURE amplitude modulation
- Publication
Abstract & Applied Analysis, 2014, p1
- ISSN
1085-3375
- Publication type
Article
- DOI
10.1155/2014/652631