Bezier Curves for Solving Fredholm Integral Equations of the Second Kind

Bezier Curves for Solving Fredholm Integral Equations of the Second Kind

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 degree n and determine Bezier curves on [0, 1] by n+1 control point...

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Veröffentlicht in:Mathematical problems in engineering 2014-01, Vol.2014 (2014), p.1-6
Hauptverfasser: Ghomanjani, F., Kiliçman, Adem, Farahi, M. H.
Format: Artikel
Sprache:eng
Schlagworte:
Algorithms
Bezier
Calculus
Curves
Cybernetics
Estimates
Fredholm equations
Game theory
Integral equations
Mathematical models
Ordinary differential equations
Partial differential equations
Polynomials
Queuing theory
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Zusammenfassung: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 degree n and determine Bezier curves on [0, 1] by n+1 control points. Numerical examples illustrate that the algorithm is applicable and very easy to use.
ISSN:1024-123X
1563-5147
DOI:10.1155/2014/147497