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Zbl 1038.65147
Maleknejad, K.; Mahmoudi, Y.
Numerical solution of linear Fredholm integral equation by using hybrid Taylor and Block-Pulse functions. (English)
[J] Appl. Math. Comput. 149, No. 3, 799-806 (2004). ISSN 0096-3003

Summary: We use a combination of Taylor and block-pulse functions on the interval $[0,1]$, that is called hybrid functions, to estimate the solution of a linear Fredholm integral equation of the second kind. We convert the integral equation to a system of linear equations, and by using numerical examples we show our estimation have a good degree of accuracy.

MSC 2000:: *65R20 Integral equations (numerical methods)
45B05 Fredholm integral equations

Keywords: Block-Pulse functions; Fredholm integral equation; Operational matrix; Product operation; Taylor polynomials; numerical examples

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