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Solving second kind integral equations with hybrid Chebyshev and block-pulse functions. (English) Zbl 1067.65151
Summary: We use a combination of Chebyshev and block-pulse functions on the interval [0,1], to solve the linear integral equation of the second kind. We convert the integral equation, to a system of linear equations. We show that our estimates have a good degree of accuracy.

65R20Integral equations (numerical methods)
45B05Fredholm integral equations
Full Text: DOI
[1] Canuto, C.; Hussaini, M. Y.; Quarteroni, A.; Zang, T. A.: Spectral methods on fluid dynamics. (1988) · Zbl 0658.76001
[2] Delves, L. M.; Mohammed, J. L.: Computational methods for integral equations. (1983)
[3] E. Kreyzing, Introduction Functional Analysis with Applications, SIAM, John Wiley & Sons, 1978
[4] Maleknejad, K.; Kajani, M. Tavassoli: Solving second kind integral equations by Galerkin methods with hybrid Legendre and block-pulse functions. Applied mathematics and computation 145, 623-629 (2002) · Zbl 1101.65323
[5] Maleknejad, K.; Kajani, M. Tavassoli; Mahmoudi, Y.: Numerical solution of linear Fredholm and voltera integral equation of the second kind by using legandre wavelets. Journal of science, islamic republic of iran 13, No. 2, 161-166 (2003)
[6] Razzaghi, M.; Marzban, H. R.: Direct methods for variational problems via hybrid of block-pulse and Chebyshev functions. Journal of mathematical problems in engineering 6, 85-97 (2000) · Zbl 0987.65055