The aim of this paper is to develop numerical methods for solving systems of integral equations with cardinal splines. The unknown functions are expressed as a linear combination of horizontal translations of certain cardinal spline functions with small compact supports. Then a simple system of equations on the coefficients is obtained for the system of integral equations. It is relatively straight forward to solve the system of unknowns and an approximation of the original solution with high accuracy is achieved. Several cardinal splines are used in the paper to enhance the accuracy. The sufficient condition for the existence of the inverse matrix is examined and the convergence rate is investigated. Examples are given to demonstrate the benefits of the methods.
Numerical methods for solving systems of Fredholm integral equations with cardinal splines
10TH INTERNATIONAL CONFERENCE ON MATHEMATICAL PROBLEMS IN ENGINEERING, AEROSPACE AND SCIENCES: ICNPAA 2014 ; 2014 ; Narvik, Norway
AIP Conference Proceedings ; 1637 , 1 ; 590-599
10.12.2014
10 pages
Aufsatz (Konferenz)
Elektronische Ressource
Englisch
Numerical Scheme for Fredholm Integral Equations Optimal Control Problems
British Library Conference Proceedings | 2012
|Numerical Scheme for Fredholm Integral Equations Optimal Control Problems
British Library Conference Proceedings | 2012
|An iterative method for solving Fredholm integral equations of the first kind
British Library Online Contents | 2009
|An iterative method for solving Fredholm integral equations of the first kind
British Library Online Contents | 2009
|