Maleknejad, K.; Mahmoudi, Y. Numerical solution of linear Fredholm integral equation by using hybrid Taylor and Block-Pulse functions. (English) Zbl 1038.65147 Appl. Math. Comput. 149, No. 3, 799-806 (2004); erratum ibid. 339, 302-307 (2018). 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. Cited in 1 ReviewCited in 80 Documents MSC: 65R20 Numerical methods for integral equations 45B05 Fredholm integral equations Keywords:Block-Pulse functions; Fredholm integral equation; Operational matrix; Product operation; Taylor polynomials; numerical examples PDFBibTeX XMLCite \textit{K. Maleknejad} and \textit{Y. Mahmoudi}, Appl. Math. Comput. 149, No. 3, 799--806 (2004; Zbl 1038.65147) Full Text: DOI References: [1] Datta, K. B.; Mohan, B. M., Orthogonal Function in Systems and Control (1995) · Zbl 0819.93036 [2] Delves, L. M.; Mohammed, J. L., Computational Methods for Integral Equations (1983), Cambridge University Press [3] Jung, Z. H.; Schanfelberger, W., Block-Pulse functions and their applications in control systems (1992), Springer-Verlag: Springer-Verlag Berlin [4] Maleknejad, K.; Hadizadeh, M., A new computational method for Volterra-Hammerstein integral equations, Computers Mathematics and Applications, 37, 1-8 (1999) · Zbl 0940.65151 [5] K. Maleknejad, M.K. Tavassoli, Y. Mahmoudi, Numerical solution of linear Fredholm and Voltera integral equation of the second kind by using Legandre wavelets, Journal of Sciences, Islamic Republic of Iran (to appear); K. Maleknejad, M.K. Tavassoli, Y. Mahmoudi, Numerical solution of linear Fredholm and Voltera integral equation of the second kind by using Legandre wavelets, Journal of Sciences, Islamic Republic of Iran (to appear) · Zbl 1059.65127 [6] Razzaghi, M.; Arabshahi, A., Optimal control of linear distributed-parameter system via polynomial series, International Journal of System Science, 20, 1141-1148 (1989) · Zbl 0678.49024 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.