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Article . 2018
License: CC BY
Data sources: Datacite
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ZENODO
Article . 2018
License: CC BY
Data sources: Datacite
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ZENODO
Article . 2018
License: CC BY
Data sources: ZENODO
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Some Numerical Techniques for Solve Nonlinear Fredholm-Volterra Integral Equation

descriptionPublicationkeyboard_double_arrow_right Article 08 May 2018Publisher:Zenodo
Authors: A. M. Al-Bugami; J. G. Al-Juaid;

doi: 10.5281/zenodo.3974366 , 10.5281/zenodo.3974367

Some Numerical Techniques for Solve Nonlinear Fredholm-Volterra Integral Equation

Abstract

In this paper, the existence and uniqueness of the solution of nonlinear Fredholm – Volterra integral equation is consider(NF-VIE) with continuous kernel , then we use a numerical method to reduce this type of equations to a system of Fredholm integral equation . Trapeziodal rule, Simpson rule, and Romberg integral method are used to solve the Fredholm integral equation of the second kind with continuous kernel. The error in each case is calculated.

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Keywords

Nonlinear Fredholm-Volterra integral equation; system of nonlinear Fredholm integral equation; Trapezoidal rule; Simpson's rule; Romberg integration.

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popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
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influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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impulse
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