Numerical Solutions of a Class of Nonlinear Volterra Integral Equations
Joint Authors
Malindzisa, H. S.
Khumalo, Melusi
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-07-09
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Malindzisa, H. S.& Khumalo, Melusi. 2014. Numerical Solutions of a Class of Nonlinear Volterra Integral Equations. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-1014525
Modern Language Association (MLA)
Malindzisa, H. S.& Khumalo, Melusi. Numerical Solutions of a Class of Nonlinear Volterra Integral Equations. Abstract and Applied Analysis No. 2014 (2014), pp.1-8.
https://search.emarefa.net/detail/BIM-1014525
American Medical Association (AMA)
Malindzisa, H. S.& Khumalo, Melusi. Numerical Solutions of a Class of Nonlinear Volterra Integral Equations. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-1014525
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1014525