Abstract | ||
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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 |
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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. Ghasemi | 1 | 81 | 8.39 |
E. Babolian | 2 | 576 | 117.17 |
M. Tavassoli Kajani | 3 | 168 | 21.98 |