On the Analysis of Numerical Methods for Nonstandard Volterra Integral Equation

Joint Authors

Malindzisa, H. S.
Khumalo, Melusi

Source

Abstract and Applied Analysis

Issue

Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-7, 7 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2014-12-14

Country of Publication

Egypt

No. of Pages

7

Main Subjects

Mathematics

Abstract EN

We consider the numerical solutions of a class of nonlinear (nonstandard) Volterra integral equation.

We prove the existence and uniqueness of the one point collocation solutions and the solution by the repeated trapezoidal rule for the nonlinear Volterra integral equation.

We analyze the convergence of the collocation methods and the repeated trapezoidal rule.

Numerical experiments are used to illustrate theoretical results.

American Psychological Association (APA)

Malindzisa, H. S.& Khumalo, Melusi. 2014. On the Analysis of Numerical Methods for Nonstandard Volterra Integral Equation. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-1014743

Modern Language Association (MLA)

Malindzisa, H. S.& Khumalo, Melusi. On the Analysis of Numerical Methods for Nonstandard Volterra Integral Equation. Abstract and Applied Analysis No. 2014 (2014), pp.1-7.
https://search.emarefa.net/detail/BIM-1014743

American Medical Association (AMA)

Malindzisa, H. S.& Khumalo, Melusi. On the Analysis of Numerical Methods for Nonstandard Volterra Integral Equation. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-1014743

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1014743