Bezier Curves for Solving Fredholm Integral Equations of the Second Kind-Reference-Cited by-同舟云学术

Bezier Curves for Solving Fredholm Integral Equations of the Second Kind

Published:2014 Issue: Volume:2014 Page:1-6
ISSN:1024-123X
Container-title:Mathematical Problems in Engineering
language:en
Short-container-title:Mathematical Problems in Engineering

Author:

Ghomanjani F.¹,Farahi M. H.¹²,Kılıçman A.³

Affiliation:

1. Department of Mathematics, Ferdowsi University of Mashhad, Mashhad, Iran

2. The Center of Excellence on Modelling and Control Systems (CEMCS), Mashhad, Iran

3. Department of Mathematics and Institute for Mathematical Research, Universiti Putra Malaysia, 43400 Serdang, Selangor, Malaysia

Abstract

The Bezier curves are presented to estimate the solution of the linear Fredholm integral equation of the second kind. A direct algorithm for solving this problem is given. We have chosen the Bezier curves as piecewise polynomials of degreenand determine Bezier curves on [0, 1] byn+1control points. Numerical examples illustrate that the algorithm is applicable and very easy to use.

Funder

Universiti Putra Malaysia

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

Link

http://downloads.hindawi.com/journals/mpe/2014/147497.pdf

Reference33 articles.

1. Asymptotic bounds for solutions to a system of damped integrodifferential equations of electromagnetic theory

2. Global Asymptotic Stability for a Stationary Solution of a System of Integro-Differential Equations Describing the Formation of Liver Zones

3. On a symptotic methods for Fredholm–Volterra integral equation of the second kind in contact problems

4. Caluculating Current Densities and Fields Produced by Shielded Magnetic Resonance Imaging Probes

5. Handbook of Integral Equations