Title
Numerical solution of linear Fredholm integral equations using sine-cosine wavelets
Abstract
If we divide the interval [0,1] into N sub-intervals, then sine-cosine wavelets on each sub-interval can approximate any function. This ability helps us to obtain a more accurate approximation of piecewise continuous functions, and, hence, we can obtain more accurate solutions of integral equations. In this article we use a combination of sine-cosine wavelets on the interval [0,1] to solve linear integral equations. We convert the integral equation into a system of linear equations. Numerical examples are given to demonstrate the applicability of the proposed method.
Year
DOI
Venue
2007
10.1080/00207160701242300
Int. J. Comput. Math.
Keywords
Field
DocType
linear fredholm integral equation,piecewise continuous function,sine-cosine wavelet,linear equation,accurate solution,accurate approximation,linear integral equation,n sub-intervals,numerical example,numerical solution,integral equation,integral equations,fredholm integral equation,linear equations
Nyström method,Riemann integral,Mathematical optimization,Line integral,Mathematical analysis,Fredholm integral equation,Integral equation,Collocation method,Independent equation,Mathematics,Volterra integral equation
Journal
Volume
Issue
ISSN
84
7
0020-7160
Citations 
PageRank 
References 
3
0.51
4
Authors
3
Name
Order
Citations
PageRank
M. Ghasemi1818.39
E. Babolian2576117.17
M. Tavassoli Kajani316821.98